Question

1. State whether the sequence 15, 30, 45, 60,..an AP?​

Answer 1

Answer:

=15

Step-by-step explanation: t¹= 15 t²=30 t³=45 t⁴=60

= t²- t¹ = 30-15 = 15

= t³- t² = 45-30 = 15

 therefore, 15,30, 45,60 is an A.

Answer 2

The sequence 15, 30, 45, 60,.. is forming an AP.

Given:

A sequence 15, 30, 45, 60,...

To Find:

That given sequence is forming an AP or not?

Solution:

To find out that the sequence 15, 30, 45, 60,.., is AP or not we will follow the following steps:

As we know,

A sequence is said to be forming an AP when the difference between the two successive terms is the same.

So,

The difference between 15 and 30 = (30 - 15) = 15

The difference between 45 and 30 = (45 - 30) = 15

The difference between 60 and 45 = (60 - 45) = 15

The common difference is 15 in all the differences of successive terms.

Henceforth, the sequence 15, 30, 45, 60,.. is forming an AP.

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