hiii!!!
find the sum :-
7 + 10½ + 14 + ··· + 84
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Answered by
5
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Here is your solution in the pic. attached
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Here is your solution in the pic. attached
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Answered by
10
Hey !!
Thanks for the question.
Given,
a = 7
d = 10 1/2 - 7
= 7/2
an = a + ( n - 1 )d
= 7 + ( n - 1 ) 7/2
= 7 + ( 7/2 n - 7/2 )
84 = 7 + 7/2n - 7/2
84 = 7/2 + 7/2n
84 - 7/2 = 7/2 n
161/2 = 7/2 n
161/2 × 2/7 = n
n = 23
Sn = n/2 ( a + l )
= 23/2 ( 7 + 84 )
= 23/2 × 91
= 2093/2
= 1046.5
Thanks for the question.
Given,
a = 7
d = 10 1/2 - 7
= 7/2
an = a + ( n - 1 )d
= 7 + ( n - 1 ) 7/2
= 7 + ( 7/2 n - 7/2 )
84 = 7 + 7/2n - 7/2
84 = 7/2 + 7/2n
84 - 7/2 = 7/2 n
161/2 = 7/2 n
161/2 × 2/7 = n
n = 23
Sn = n/2 ( a + l )
= 23/2 ( 7 + 84 )
= 23/2 × 91
= 2093/2
= 1046.5
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