Question

What is the 20th term of the linear sequence below? 15 , 7 , − 1 , − 9 , − 17 , . . .

Answer 1

According to the question
a=15
d=-8
a^20=a+19d
a^20=15+19*-8
a^20=15-152
a^20=-137
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Answer 2

SOLUTION

TO DETERMINE

The 20th term of the linear sequence

15 , 7 , − 1 , − 9 , − 17 , . . .

CONCEPT TO BE IMPLEMENTED

If in an arithmetic progression

First term = a

Common difference = d

Then nth term of the AP

= a + ( n - 1 )d

EVALUATION

Here the given sequence is

15 , 7 , − 1 , − 9 , − 17 , . . .

It is an arithmetic sequence

First term = a = 15

Common Difference = d = 7 - 15 = - 8

The 20th term of the sequence

= a + 19d

= 15 + 19 × ( - 8 )

= 15 - 152

= - 137

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