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Mastery Check - Arithmetic and Geometric Sequences and Series RETAKE

Last updated about 5 years ago
8 questions
Learning Target 1 (LT1): I will find the nth term of an arithmetic sequence and series.
Learning Target 2 (LT2): I will find the nth term of a geometric sequence and series.
Learning Target 3 (LT3): I will find the sum of arithmetic sequences and series.
Learning Target 4 (LT4): I will find the sum of a geometric sequences and series.
Learning Target 5 (LT5): I will find the sum of an infinite geometric sequence.
LEVEL 2 (Must complete. Maximum score: 75%)
4

Given: 5th term is 64 and 9th term is 4. Find the general formula for the arithmetic sequence. (LT1)

2

Evaluate the following. (LT4)

4

In an arithmetic sequence, the fifth term is 9 and the tenth term is 39. Find the eighteenth term.

4

Given the following, determine the first term of the sequence. (LT2)

LEVEL 3 (Must complete LEVEL 2. Maximum score: 90%)
4

The first three terms of a geometric sequence are a, a + 14, and 9a. Find the value of a.

6

Given the following for a geometric series. (LT5)
a. Find the value(s) of x for which the sum to infinity of the series exists.
b. If the first term of the series is 35, find the value of x for which the sum to infinity is 40.

Level 4 (Must complete LEVEL 2 and LEVEL 3. Maximum score: 100%)
6

Given:
Find

6

Given the following, find the common ratio.