Which of the following are APs ? If they form an AP, find the comm | Filo

Class 10

Math

All topics

Arithmetic Progressions

534
150

Which of the following are APs ? If they form an AP, find the common difference and write three more terms.
(i)
(ii)
(iii)
(iv)
(v)
(vi)
(vii)
(viii)
(ix)
(x)
(xi)
(xii)
(xiii)
(xiv)
(xv)

Solution: are said to be in AP if the common difference between any two consecutive number of the series is same ie

It is not in AP, as the difference between consecutive terms is different.

It is in AP with common difference

Next three terms are

It is in AP with common difference ,and
Next three terms are

It is in AP with common difference , and
Next three terms are

It is in AP with common difference , and
Next three terms are

It is not in AP since

It is in AP with common difference and
Next three terms are

It is in AP, with common difference , therefore next three terms will also be same as previous ones, i.e.,

It is not in AP since

It is in AP with common difference and first term is
Next three terms are

It is not in AP, as the difference is not constant.

It is in AP with common difference and
Next three terms are

It is not in AP as difference is not constant.

It is not in AP as difference is not constant.

It is in AP with common difference and ,
Next three terms are

534
150

Connecting you to a tutor in 60 seconds.