Question

Two AP have the same common difference. The first term of one of these is -1 and that of other is -8.What is the d b/w their 4th terms?

Answer 1

Given ➛

Two A.P whose Common difference are same:-

Let d for 3rd and 2nd term,

(a+3d)-(a+2d)=d

(b+3d)-(b+2d)=d

then,

difference between 4th term:-

(a+3d)-(b+3d)

where,

a= -1

b= -8

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To Find➛

Difference Between their 4th term.

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Solution➠

Let us know,

WHAT IS A.P?

A.P stands for Arithmetic Progression.

where series is a sequence of numbers such that the difference between the consecutive terms is constant.

Now come to Question:-

Let Difference between 4th term of both ap be x,

then

x= (a+3d)-(b+3d)

Let substitute the value of a and b,(Value Given)

x= (-1+3d)-(-8+3d)

x= -1+3d+8-3d

x= 7.

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ANSWER➽

7