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Multiple Choice

Identify the choice that best completes the statement or answers the question.

____  1.   If the first term of a sequence is 3 and the common difference is 4, what is the 23rd term in the sequence?

____  2.   What is the general term of the sequence: 6, 42, 294, 2058,14406, … ____  3.   If the 9th term in a geometric sequence is 45 927 and the common ratio is 3, then what is the first term?

____  4.   Find the next three terms of the sequence: 4, 11, 30, 67, …

____  5.   Determine whether the sequence is geometric, arithmetic, neither with a defined general term, or neither with an undefined term.

8, 42, 76, 110, …

____  6.   Determine the sum of the arithmetic sequence: 5 + 18+ 31 + 44 + … +. 161.

____  7.   Determine the sum of the geometric series 3 + 15 + 75 + 375 + … + 46 875.

____  8.   Expand the binomial (2x + 1)4

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9.   Find the general term of the sequence 1, 1000, 10 000 000, 1 000 000 000 000 000, …

10.   You are given a sequence: 1, 8, 4, 11, 7, 14, 10, 17, …

Describe in words how the sequence is obtained.

11.   Calculate the sum of the series: –396 – 308 – 220 – 132 – … + 836.

12.   Calculate the sum of the Geometric series

13.   Expand and simplify the binomial power using Pascal’s Triangle Problem

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14.   The triangular numbers are the numbers in the sequence: 1, 3, 6, 10, 15, …

a) Determine the next three triangular numbers

b) Find the recursive formula for the sequence

c) Find the General form for the sequence

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