Advertisements
Advertisements
Question
Which of the following lists of numbers form an A.P.? If they form an A.P., find the common difference d and write the next three terms : a, 2a, 3a, 4a,...
Solution
a, 2a, 3a, 4a,...
Here first term (a) = a
Common difference (d) = 2a – a = a
3a – 2a = a
4a – 3a = a
∵ The common difference is same
∴ It is an A.P.
and next three terms are
5a, 6a, 7a.
APPEARS IN
RELATED QUESTIONS
If the pth term of an A.P. is (2p + 3); find the A.P.
Is 402 a term of the sequence:
8, 13, 18, 23, ................. ?
Find the 31st term of an A.P. whose 10th term is 38 and the 16th term is 74.
4th term of an A.P. is equal to 3 times its first term and 7th term exceeds twice the 3rd term by 1. Find the first term and the common difference.
Which of the following lists of numbers form an A.P.? If they form an A.P., find the common difference d and write the next three terms : – 10, – 6, – 2, 2,….
Which of the following lists of numbers form an A.P.? If they form an A.P., find the common difference d and write the next three terms : 12, 32, 52, 72,...
Two A.P.s have the same common difference. If the difference between their 25th terms is 8, the difference between their 50th terms is ______.
The nth term of an A.P. is 7n – 5. Its common difference is ______.
The 40th term of an A.P. exceeds its 16th term by 72. Then its common difference is ______.
The nth term of the A.P. 6, 11, 16, 21, ........ is 106, then the value of n – 4 is ______.