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Chapter 12: Q. 3 (page 816)

If the fifth term of an arithmetic sequence is 12and the common difference is 5, then the sixth term of the sequence is _______.

Short Answer

Expert verified

The solution is17.

Step by step solution

01

Step 1. Given information 

If the fifth term of an arithmetic sequence is 12and the common difference is 5.

02

Step 2. Calculation

If the fifth term of an arithmetic sequence is 12and the common difference is 5, then the sixth term of the sequence is -

a6=a5+d

=12+5

=17

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Most popular questions from this chapter

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

a1=3;an=4-an-1

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

2+43+89+....

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

∑(k2k=014-4)

In Problems 51–60, write out each sum.

∑k=1nk22

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

a1=2;an=3+an-1
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