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Chapter 12: Q 94. (page 1184)

Find the fourteenth term of a sequence where the first term is eight and the common difference is 鈭�3.

Short Answer

Expert verified

-31

Step by step solution

01

Step 1. Given Information. 

The first term is eight and the common difference is 鈭�3.

02

Step 2. Formula used.

Write the formula of an arithmetic sequence.

an=a1+n鈭�1d

Where a1 is the first term and d is a common difference.

03

Step 3. Find the fourteenth term. 

Substitute 8 for the first term, -3 for d, and 14 for nin the above formula.

a14=8+14鈭�1鈭�3=8+13鈭�3=8鈭�39=-31

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Most popular questions from this chapter

Determine if each sequence is arithmetic. If so, indicate the common difference.

(a)鈭�4,4,2,10,8,16,鈥�(b)鈭�3,鈭�1,1,3,5,7,鈥�(c)7,2,鈭�3,鈭�8,鈭�13,鈭�18,鈥�

Write the sum using summation notation:1+14+19+116+125.

Find the sum.

鈭�6i=1152i

Find a general term for the sequence whose first five terms are shown 1, 鈭�4, 9, 鈭�16, 25,...

Find a general term for the sequence whose first five terms are shown12,14,18,116,132,鈥�
See all solutions

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