Question

Find the nth term of the A.P. 6.4, 7.6, 8.8,10​

Answer 1

Answer:

a=6.4,d=1.2,an=n

an=a+(n-1)d

n=6.4+(n-1)1.2

n=6.4+1.2n-1.2

n=5.2+1.2n

Answer 2

Given:

An A.P. 6.4, 7.6, 8.8, 10...

To find:

The nth term of the A.P.

Solution:

The nth term of the given A.P. is 5.2 + 1.2n.

To answer this question, we will follow the following steps:

As we know that in an A.P. having a = first term, d = common difference, the nth term is given by

${n}^{th \:} \: term = a + (n - 1)d$

where n is the number of terms till nth term.

Now,

in the given A.P. 6.4, 7.6, 8.8, 10...,

a = 6.4,

d = 7.6 - 6.4 = 1.2

So,

on putting all the values in the above formula, we get

${n}^{th} \: term = 6.4 + (n - 1)1.2$

$= 6.4 + 1.2n - 1.2$

$= 5.2 + 1.2n$

Hence, the nth term of the A.P. is 5.2 + 1.2n.