Question

Is 204 a term of the arithmetic sequence 4,9,14,……….​

Answer 1

Answer:

t = 204

d = 9 - 4 = 5

t = a + (n - 1)d

204 = 4 + (n - 1)5

204 - 4 = (n - 1)5

200 = (n - 1) 5

200/5 = n - 1

40 = n - 1

40 + 1 = n

41 = n

so, 204 is a term of the given AP, and 204 is the 41th term of the AP.

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