Question

Find whether 55 is a term of ap7,10,13....

Answer 1

Answer:

Yes, it is.

Step-by-step explanation:

The given AP is 7,10,13,.....

The first term of the AP is a=7

The common difference of the AP is d=3

We know that, the nth term of an AP is equal to a+(n-1)d

where a is the first term and d is the common difference and also n is a natural number.

Now, suppose 55 is a term of this AP

and let 55 be the nth term of this AP

If the value of this n comes out to be a natural number then 55 is indeed a term of this AP. But if it doesn't come out to be a natural number then 55 is not a term of this AP.

Now,

55=a+(n-1)d

55=7+(n-1)3

48=(n-1)3

16=n-1

This implies n=17

This is a natural number and hence our assumption that 55 is a term of this AP is correct.

So, 55 is a term of this AP and it is in fact the 17th term.

Please mark it as the Brainliest if you are satisfied with this solution.

Answer 2

NO! because 10 multiply by 13=130....but55 multiply by 7=??=385