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Cartesian Product

Find the G.P....

Question

Find the G.P. if

(1) (a) T_n = 2 × 5⁽ⁿ⁻¹⁾

(b) T_n = 2 × 3⁽ⁿ⁻¹⁾

(c) T₇ = 243 and r = 3

(d)

(e)

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Solution

(a)

Thus, the G.P. is 2, 10, 50, 250 …

(b)

Thus, the G.P. is 2, 6, 18, 54 ...

(c) and

Thus, the G.P. is

(d) and

Thus, the G.P. is

(e) and

Thus, the G.P. is

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Similar questions

Find the G.P. if

(1) (a) T_n = 2 × 5⁽ⁿ⁻¹⁾

(b) T_n = 2 × 3⁽ⁿ⁻¹⁾

(c) T₇ = 243 and r = 3

(d)

(e)

(a) T_n = n find (i) T_n+1 (ii) T _n−1

(b) If T_n = n² − 1 find (i) T_n−2 (ii) T_n+1

(c) If T_n = 2n² + 1 find the value of n if T_n = 73

(d) In a sequence T_n= 5 − 3n find (i) T_n+1 (ii) T_n+2

Q. If a = 1 and r

= \frac{2}{3}

T_{n}

T_{4}

Q. If for a sequence,

t_{n} = \frac{2^{n - 2}}{5^{n - 3}}

,show that the sequence is a G.P . Find its first term and common ratio.

T_{n} = 5 n + 2

T_{n + 1}

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