If the 5th term of an arithmetic progression is 23 and the 29th term is -52. Then what is the common difference in this arithmetic progression?
Answer
Correct Answer : c ) 29/24
Explanation :It is given that
5th term of AP = 23
29th term of AP = -52
We know that,
nth term of an AP, Tn = a + (n - 1) * d
where,
a = first term of AP
d = common difference of AP
Tn = nth Term of AP
5th term of AP, 23 = a + 3d ........ (1)
29th term of AP, -52 = a + 28d ........ (2)
Subtracting eq. 1 from eq. 2, we get
-75 = 25d
d = -3
Hence, (c) is the correct answer.
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