The Sum of the rst n terms of an A.P. is given by:
Sn = n
2
[2a + (n − 1)d]. The following are the steps involved in making d as the
subject of the formula. Arrange them in sequential order.
(A) 2a + (n − 1)d = 2S
n
n
(B) d = 2
n 1
S
n
a n
− −
(C) Sn = n
2
[2a + (n − 1)d] ⇒ 2Sn = n[2a + (n − 1)d]
(D) (n − 1)d = 2S
Class 7
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Step-by-step explanation:
The formula says that the sum of the first n terms of our arithmetic sequence is equal to n divided by 2 times the sum of twice the beginning term, a, and the product of d, the common difference, and n minus 1. The n stands for the number of terms we are adding together.
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