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Chapter 12: Q. 17 (page 838)

In Problems 17–19, find the indicated term in each sequence.

9th term of 3, 7, 11, 15, .........

Short Answer

Expert verified

The 9th term is 35.

Step by step solution

01

Step 1. Given information.

The sequence is:3,7,11,15........

02

Step 2. Find type of term of sequence and 9th term of the sequence.

Since in given sequence the difference between successive term is constant.

Hence the given sequence is an arithmetic sequence.

Its first term is:a=3

Common difference is: d=7-3=4

9th term is:a9=3+9-14=3+8×4=3+32=35

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Most popular questions from this chapter

In Problems 17–28, write down the first five terms of each sequence.

sn=n2+1

In Problems 37–50, a sequence is defined recursively. Write down the first five terms.

a1=2;an=3+an-1

In Problems 71-82, find the sum of each sequence.

∑(k2k=014-4)

In Problems 51–66, determine whether each infinite geometric series converges or diverges. If it converges, find its sum.

1+13+19+.....

In Problems 37–50, a sequence is defined recursively. Write down the first five terms.

a1=3;an=an-1n
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