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Arithmetic Progressions

Question
CBSEENMA10007948

Write the common difference of an A .P. whose nth term is 3n + 5.

Solution

We have, an = 3n + 5
a1 = 3(1) + 5 = 3 + 5 = 8
a2 = 3 (2) + 5 = 6 + 5 = 11
And, a3 = 3 (3) + 5 = 9 + 5 = 14
Now, common difference = a2 – a1 = 11 – 8 = 3.