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Arithmetic Progressions

Question 15:

For what value of n, are the nth terms of two APs 63, 65, 67, and 3, 10, 17, … equal

Answer:

63, 65, 67, …

a = 63

d = a2a1 = 65 − 63 = 2

nth term of this A.P. = an = a + (n − 1) d

an= 63 + (n − 1) 2 = 63 + 2n − 2

an = 61 + 2n (1)

3, 10, 17, …

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