Advertisements
Advertisements
Question
Find the common difference of the A.P. and write the next two terms 51, 59, 67, 75, ..
Solution
In this problem, we are given different A.P. and we need to find the common difference of the A.P., along with the next two terms.
51, 59, 67, 75, ..
Here,
`a_1 = 51`
`a_2 =59`
So, common difference of the A.P. (d) = `a_2 - a_1`
= 59 - 51
= 8
Also, we need to find the next two terms of A.P., which means we have to find the 5thand 6th term.
So, for fifth term,
a5 = a1 +4d
= 51 + 5(8)
= 51 + 32
= 83
Similarly, we find the sixth term,
a6 = a1 +5d
= 51 + 5(8)
= 51 + 40
= 91
Therefore, the common difference is d = 8 and the next two terms of the A.P. are `a_5 = 83 , a_6 = 91` .
APPEARS IN
RELATED QUESTIONS
The 16th term of an A.P. is five times its third term. If its 10th term is 41, then find the sum of its first fifteen terms.
If the nth term of a progression be a linear expression in n, then prove that this progression is an AP
Write first four terms of the A.P. when the first term a and the common differenced are given as follows:
a = 4, d = -3
Following are APs or not? If they form an A.P. find the common difference d and write three more terms:
`2, 5/2, 3, 7/2 ....`
Write the sequence with nth term an = 6 − n
Find d if t9 = 23 व a = 7
In an A.P., a = 10 and d = −3 then find its first four terms
If a, b, c, d, e are in A.P., then the value of a - 4b + 6c - 4d + e is ______.
Which of the following form an AP? Justify your answer.
1, 1, 2, 2, 3, 3,...
Which of the following form an AP? Justify your answer.
`sqrt(3), sqrt(12), sqrt(27), sqrt(48)`
