Question

In an AP,if d=-3,n=8,nth term= 5, then a is:




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Answer 1

Answer:

tn = a + (n-1) 5

$5 = a + (8 - 1) \times - 3$

$5 = a + - 21$

$a = 26$

Answer 2

Given:

Common difference= -3

Number of terms=8

Nth term=5

To find:

The first term of the A.P.

Solution:

The first term of the A.P. is 26.

We can find the term by following the given steps-

We know that in the arithmetic progression, the following values are given-

The common difference of the A.P., d= -3

The number of terms in the A.P, n=8

The Nth term=5

Let the first term of the A.P.= a

We also know that the Nth term of an A.P.= a+(n-1)d

On putting the values, we get

5=a+(8-1)×(-3)

5=a+7(-3)

5=a-21

a=21+5

a=26

Therefore, the first term of the A.P. is 26.