Find the sum of 36 terms of series whose nth term is 5n+4 ?
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Answers
Answered by
2
HELLO FRIEND SO HERE IS THE CORRECT ANSWER
Tn = 5n + 4
T1 = 9
T2 = 14
T3 = 19
SO THE A.P. IS 9 , 14 , 19
SO A = 9
D = 5
N = 36
NOW SUM OF THE 36 TERMS IS
Sn= n/2 [ 2a + (n-1)d]
S36 = 36 /2 [ 2× 9 + 35 × 5 ]
= 18 ( 18 + 175 )
= 18 × 193
= 3474 ANSWER
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Answered by
2
Step-by-step explanation:
S36 = 18 (2a + 35 .d). ... (1)
t36 = 5 x36 + 4 = 184 = a + 35d ,
a = 184 - 35d .... (2)
t35 = 5 x 35 + 4 = 179
C.D = 184 - 179 = 5 = d
from 1 nd 2
18 (2(184-35d) + 35d) = S36
18( 368 - 35d ) = S36
6624 -18 x 35(5) = S36
6624 - 3150 = S36
S36 = 3474
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