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Question
Find the common difference of the A.P. and write the next two terms 75, 67, 59, 51, ...
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.
75, 67, 59, 51, ...
Here,
a1 = 75
a2 = 67
So, common difference of the A.P. (d) = `a_2 - a_1`
= 67 - 75
= - 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,
`a_5 = a_1 + 4d`
= 75 + 4 (-8)
= 75 - 32
= 43
Similarly, we find the sixth term,
`a_6 = a_1 + 5d`
= 75 +5(-8)
= 75 - 40
= 35
Therefore, the common difference is d = - 8 and the next two terms of the A.P. are ` a_5 = 43, a_6 = 35`.
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