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CBSE Class 10 Answered

find the sum of following 6+13+20+....+97
Asked by deepikaselvam2009 | 20 Feb, 2024, 08:57: PM
answered-by-expert Expert Answer

Let Sn = 6+13+20+..................+97

Above series is Arithmetic progression with first term a = 6 and common difference d = 7

Last term 97 is

img

6 + (n-1)7 = 97

From above expression, n = 14 .

Hence number of terms n in the arithmetic progression is 14.

Sum of Arithmetic progression is

img

Sn = (14/2) [ 2 × 6 + 13 × 7 ] = 721

Answered by Thiyagarajan K | 20 Feb, 2024, 11:54: PM
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