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Chapter 12: Q. 5 (page 816)

In the problem, show that each sequence is arithmetic. Find the common difference and write out the first four terms.

sn=n+4

Short Answer

Expert verified

The solution is d=1; first four terms=5,6,7,8.

Step by step solution

01

Step 1. Given information 

sn=n+4

02

Step 2. Calculation 

The first term is s1=1+4=5.

The nth term and the n-1st term of the sequence are -

sn=n+4 and sn-1=n-1+4=n+3

The common difference is -

d=sn-sn-1=n+4-n+3=1

Since the difference of any two successive terms is the constant 1, the sequence snis arithmetic.

The first four terms are localid="1649240847390" 5,6,7and 8.

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