Question

Which term of the AP:3, 8, 13, 18. ....is 78?
give my answer​

Answer 1

The first term of the AP is 3
The common difference is 8-3=5
Use the eqn,
78= a+(n-1)d
Therefore,
78=3 + (n-1)5
= 3+5n-5
Therefore, 78=5n-2
Hence, 80=5n and n=16
Therefore 78 is the 16th term in this AP

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Answer 2

a = 3

d = 5 d=8-3=5

tn = 78

tn = a + (n-1)×d

78 = 3 + (n - 1)×5

78 = 3 + 5n - 5

78 = 5n -2

80 = 5n

Therefore n = 16

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