Unit 2 Study Guide

Given the table:

null

Obavezno

1

Find the common difference.

Obavezno

1

Find the sum of the first 50 terms.

Given the arithmetic sequence with u_3=8 and u_8=-17.

Obavezno

1

Find the common difference.

Obavezno

1

Find u_1.

Obavezno

1

Find u_{12}.

Obavezno

1

Find the sum of the first 12 terms of the sequence.

Consider the sequence 2, 9, 16, 23, 30. . .

Obavezno

1

Find u_{100}.

Obavezno

1

Find n, given that the n^th term of the sequence is 583.

Obavezno

1

Find the least value of n, for which u_n is above 100.

Obavezno

1

An arithmetic sequence has first term 8 and common difference 2. The sum of the terms of the sequence is 170. Find the number of terms in the sequence.

Consider the arithmetic sequence 1, 4, 7, 10, 13, ...

Obavezno

1

The sum of the first n terms of the sequence is \frac{n}{2}(3n-1). Find the sum of the first 100 terms of this sequence.

Obavezno

0

The sum of the first n terms is 477. Show that 3n^{2}-n-954=0.

Obavezno

1

Using your graphing calculator or otherwise find the number of terms, n.

The first 4 terms of a geometric sequence are 512, x, 128, –64

Obavezno

1

Write down the common ratio, r.

Obavezno

1

Find the value of x.

Obavezno

1

Calculate the value of the 13^th term.

In a geometric sequence u_2=-6 and u_4=-24.

Obavezno

1

Find the value(s) of r.

Obavezno

1

Find u_1.

The first term of an arithmetic sequence is 0 and the common difference is 12. The first term of a geometric sequence is 6. The 6^th term of the geometric sequence is equal to the 17^th term of the arithmetic sequence mentioned.

Obavezno

0

Write down an equation using this information.

Obavezno

1

Calculate the common ratio, r, of the geometric sequence.

A geometric sequence has first term 500 and common ratio \frac{2}{3}.

Obavezno

1

Find S_{10}.

Obavezno

1

Find the infinite sum if it exists.

Given geometric sequence such that S_1=-200 and S_2=-100.

Obavezno

1

State u_1.

Obavezno

1

Find the value(s) of r.

Obavezno

1

S_8

Obavezno

0

Find the value of n when S_n=-125

Matryoshka dolls, or Russian dolls, are similarly designed dolls which open up and fit inside each other. The largest set of these types of dolls is a 51 piece set which was completed in 2003. The height of the largest piece in this set is 54 cm. The heights of successive smaller dolls are 94% of the preceding larger doll, as shown.

null

Obavezno

1

Find the height of the smallest doll in this set.

Obavezno

1

Find the total height if all 51 dolls were placed one on top of another.

The fifth term, u_5 of a geometric sequence is 375. The sixth term, u_6 of the sequence is 75.

Obavezno

1

Write down the common ratio of the sequence.

Obavezno

1

Find u_1.

Obavezno

1

Unit 2 Study Guide

Find the common difference.

Find the sum of the first 50 terms.

Find the common difference.

Find u_1.

Find u_{12}.

Find the sum of the first 12 terms of the sequence.

Find u_{100}.

Find n, given that the nth term of the sequence is 583.

Find the least value of n, for which u_n is above 100.

An arithmetic sequence has first term 8 and common difference 2. The sum of the terms of the sequence is 170. Find the number of terms in the sequence.

The sum of the first n terms of the sequence is \frac{n}{2}(3n-1). Find the sum of the first 100 terms of this sequence.

The sum of the first n terms is 477. Show that 3n^{2}-n-954=0.

Using your graphing calculator or otherwise find the number of terms, n.

Write down the common ratio, r.

Find the value of x.

Calculate the value of the 13th term.

Find the value(s) of r.

Find u_1.

Write down an equation using this information.

Calculate the common ratio, r, of the geometric sequence.

Find S_{10}.

Find the infinite sum if it exists.

State u_1.

Find the value(s) of r.

S_8

Find the value of n when S_n=-125

Find the height of the smallest doll in this set.

Find the total height if all 51 dolls were placed one on top of another.

Write down the common ratio of the sequence.

Find u_1.

The sum of the first k terms in the sequence is 292,968.Find the value of k.

Find the common difference.

Find the sum of the first 50 terms.

Find the common difference.

Find u_1.

Find u_{12}.

Find the sum of the first 12 terms of the sequence.

Find u_{100}.

Find n, given that the nth term of the sequence is 583.

Find the least value of n, for which u_n is above 100.

An arithmetic sequence has first term 8 and common difference 2. The sum of the terms of the sequence is 170. Find the number of terms in the sequence.

The sum of the first n terms of the sequence is \frac{n}{2}(3n-1). Find the sum of the first 100 terms of this sequence.

The sum of the first n terms is 477. Show that 3n^{2}-n-954=0.

Using your graphing calculator or otherwise find the number of terms, n.

Write down the common ratio, r.

Find the value of x.

Calculate the value of the 13th term.

Find the value(s) of r.

Find u_1.

Write down an equation using this information.

Calculate the common ratio, r, of the geometric sequence.

Find S_{10}.

Find the infinite sum if it exists.

State u_1.

Find the value(s) of r.

S_8

Find the value of n when S_n=-125

Find the height of the smallest doll in this set.

Find the total height if all 51 dolls were placed one on top of another.

Write down the common ratio of the sequence.

Find u_1.

The sum of the first k terms in the sequence is 292,968.Find the value of k.

Find n, given that the n^th term of the sequence is 583.

Calculate the value of the 13^th term.

The sum of the first k terms in the sequence is 292,968.
Find the value of k.

Find n, given that the n^th term of the sequence is 583.

Calculate the value of the 13^th term.

The sum of the first k terms in the sequence is 292,968.
Find the value of k.