find the sum to n terms of the A.P. , whose kth term is 5k+1....
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Solution: As, it is given that k th term of the A.P. is 5k + 1. therefore, ak = a + (k – 1)d ⇒ a + (k – 1)d = 5k + 1 ⇒ a + kd – d = 5k + 1 now, on comparing the coefficient of k, we get, d = 5 and a – d = 1 ⇒ a – 5 = 1 ⇒ a = 6......
sn=n/2[2a +(n-1)d]
put the values and find the answer........
sry i cant do full answer because my key board is not working properly......
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ak = 5k+1
a1 = 5×1+1 = 5+6 = 6
a2 = 5×2+1 = 10+1 = 11
d = a2-a1 = 11-6 = 5
a = 6 and d = 5
Sn = n/2[2a+(n-1)d]
= n/2[12+5n-5]
= n/2[7+5n]
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