Show that the progression 2, 6, 18, 54, 162,….. is a G.P.
Write its:
(i) first term
(ii) common ratio
(iii) nth term
(iv) 8th term.

Question

Show that the progression 2, 6, 18, 54, 162,..... is a G.P. Write its: (i) first term (ii) common ratio (iii) nth term (iv) 8th term.

KnowledgeBoat · Accepted Answer

2, 6, 18, 54, 162,..... = 3. Since, ratio between consecutive terms are equal, thus the series is in G.P. a = 2 r = = 3 We know that, nth term of a G.P. is given by, ⇒ Tn = arn - 1 = 2.(3)n - 1. ⇒ T8 = (2)(3)8 - 1 = 2(3)7 = 2(2187) = 4374. Hence, a = 2, r = 3, Tn = 2.(3)n - 1, T8 = 4374.

Mathematics

Show that the progression 2, 6, 18, 54, 162,….. is a G.P.
Write its:
(i) first term
(ii) common ratio
(iii) nth term
(iv) 8th term.

G.P.

Related Questions

Mathematics

Show that the progression 2, 6, 18, 54, 162,….. is a G.P.Write its:(i) first term(ii) common ratio(iii) nth term(iv) 8th term.

G.P.

Related Questions

Show that the progression 2, 6, 18, 54, 162,….. is a G.P.
Write its:
(i) first term
(ii) common ratio
(iii) nth term
(iv) 8th term.