To find the sum of an AP with n terms, which formula to use.
How an arithmetic series is equal to the average of the first and last term.
How, to solve the Arithmetic progressions Questions, Academic Session 2022-2023
Class 10th, CBSE Board and Others state Board.
Find the sum of the following APs: 0.6, 1.7, 2.8, . . ., to 100 terms.
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A.P. : 0.6, 1.7, 2.8, …
Here, a = 0.6, and d = 1.7 – 0.6 = 1.1.
The sum of n terms of an AP is Given by
Sn = n/2[2a + (n -1)d]
⇒ S_100 = 100/2[2(0.6) + (100 -1)(1.1)
⇒ S_100 = 50[1.2 + 99 × 1.1] = 50[110.1] = 5505