Question

If the 5th term of an ap is 75 and the 8th term is 525 find the 6th term

Answer 1

6th term equals 225..... i think dis will be help full u.....

Answer 2

The 6th term is 225

Step-by-step explanation:

Formula of nth term = $a_n = a+(n-1)d$ --- A

Substitute n = 5

$a_5=a+(5-1)d$

We are given that 5th term of an ap is 75

So, $a+(5-1)d = 75$

$a+4d=75$ ---1

Substitute n = 8

$a+(8-1)d = 525$

$a+7d=525$ ---2

Subtract 1 from 2

$a+7d-a-4d=525-75$

$3d=450$

$d=\frac{450}{3}$

d=150

Substitute d in 1

a+4(150)=75

a=75-4(150)

a=-525

Substitute the value of n=6 in A

$a_{6}=-525+(6-1)(150)$

$a_6=225$

Hence the 6th term is 225

#Learn more:

The 6th term of an ap is 5 times the first term and the 11th term exceeds twice the 5th term by 3 . Find the 8th term.

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