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Chapter 3: Q41. (page 204)

Write an equation for the term of each arithmetic sequence.

a1=6,d=5

Short Answer

Expert verified

The equation for nth term of the given arithmetic sequence is 5n+1.

Step by step solution

01

Step 1. Write the equation for the nth term of the arithmetic sequence.

The nth term of the arithmetic sequence anis given by:

an=a1+n−1d

Where,a1 is the first term of the arithmetic sequence and d is the common difference of the arithmetic sequence.

02

Step 2. Write an equation for the nth term of the given arithmetic sequence having a1=6 and d=5.

It is given thata1=6 and d=5.

The equation for nth term of the given arithmetic sequence is given by:

an=a1+n−1d=6+n−15=6+5n−5=5n+6−5=5n+1

Therefore, the equation for nth term of the given arithmetic sequence is 5n+1.

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