Question

Algebraic form of an arithmetic sequence is 3n-8.what is its common difference?Find its 5th terms?

Answer 1

Answer:

To find the 5th term, put n=5 in 3n-8

3×5-8=7

Find the 6th term

3×6-8=10

common diff=6th term-5th term=10-7=3

Answer 2

Solution :-

given that,

→ an = 3n - 8

putting n = 1,

→ a1 = 3 * 1 - 8 = 3 - 8 = (-5)

→ a2 = 3 * 2 - 8 = 6 - 8 = (-2)

So,

→ common difference = a2 - a1 = (-2) - (-5) = (-2) + 5 = 3

then,

→ an = a + (n - 1)d

→ a5 = a + 4d

→ a5 = (-5) + 4 * 3

→ a5 = 12 - 5

→ a5 = 7 (Ans.)

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