find the sum of the first 51 terms of A.P., which second and third terms are 14 and 18brespectively
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1
Answer:
answer is 5610
Step-by-step explanation:
Here, second term = a2 = 14
Third term = a3 = 18
∴ Common difference = a3 - a2 = 18 - 14 = 4
Thus first term = a = a2 - d = 14 - 4 = 10
Now, Sum of first n terms of an AP is given by
Sn =
[2a + (n - 1)d]
∴ Sum of first 51 terms is given by:
S51 =
[2(10) + (51 - 1)(4)]
= (51/2) × [20 + 200]
= (51/2) × 220
= (51) × 110
= 5610
∴ S51 = 5610
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