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Common Difference

Finda T n in ...

Question

Find

(a)

(b)

(c)

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Solution

(a) The given sequence is

Taking reciprocal of every term, we get 2, 5, 8 …

These terms form an A.P. with and .

Thu, the n^th term of this A.P. can be calculated as:

n^th term,

(b) The given sequence is .

Taking reciprocal of every term, we get 8, 13, 18, 23 …

These terms form an A.P with and .

Thu, the n^th term of this A.P. can be calculated as:

n^th term,

(c) The given sequence is

Taking reciprocal of every term, we get 5, 3, 1, −1 …

These terms form an A.P with and .

Thu, the n^th term of this A.P. can be calculated as:

n^th term,

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Similar questions

\frac{1}{5}, \frac{1}{3}, 1, - 1,

T_{10}

Which of the following are harmonic progressions.

(a)

(b)

(c)

(d)

Q. Show that the following sequences are H.P. Also find 10th term .

\frac{1}{2}, \frac{1}{5}, \frac{1}{8}, \frac{1}{11}, . . .

A = {1, 2, 3}, B = {1, 3, 5} .

R

is defined from

A

B

R = {(1, 3), (1, 5), (2, 1)} .

R^{- 1} =

Find

(a) T_n and T₈ for 1, 2, 4, 8, …….

(b) T₆ for

(c) T₉ for 1, 0.2, 0.02, 0.002, …….

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