Find the geometric progression with fourth term = 54 and seventh term = 1458.

Let first term of the G.P. be a and it's common ratio be r. Given, ⇒ a 4 = 54 ⇒ ar 3 = 54 ........(i) Also, ⇒ a 7 = 1458 ⇒ ar 6 = 1458 ........(ii) Dividing (ii) by (i) we get Substituting value of r in (i) we get, ⇒ a(3) 3 = 54 ⇒ 27a = 54 ⇒ a = = 2. a 2 = ar = 2.(3) = 6. a 3 = ar 2 = 2.(3) 2 = 2.(9) = 18. G.P. = 2, 6, 18, 54, ...... Hence, G.P. = 2, 6, 18, 54, ......

If the first and the third terms of a G.P. are 2 and 8 respectively, find its second term.

View Answer Bookmark Now

The product of 3^rd term and 8^th terms of a G.P. is 243. If its 4^th term is 3, find its 7^th term.

View Answer Bookmark Now

Second term of a geometric progression is 6 and its fifth term is 9 times of its third term. Find the geometric progression. Consider that each term of the G.P. is positive.

View Answer Bookmark Now

The fourth term, the seventh term and the last term of a geometric progression are 10, 80 and 2560 respectively. Find its first term, common ratio and number of terms.

View Answer Bookmark Now

Mathematics

Find the geometric progression with fourth term = 54 and seventh term = 1458.

GP

Related Questions

If the first and the third terms of a G.P. are 2 and 8 respectively, find its second term.

The product of 3^rd term and 8^th terms of a G.P. is 243. If its 4^th term is 3, find its 7^th term.

Second term of a geometric progression is 6 and its fifth term is 9 times of its third term. Find the geometric progression. Consider that each term of the G.P. is positive.

The fourth term, the seventh term and the last term of a geometric progression are 10, 80 and 2560 respectively. Find its first term, common ratio and number of terms.

Mathematics

Find the geometric progression with fourth term = 54 and seventh term = 1458.

GP

Related Questions

If the first and the third terms of a G.P. are 2 and 8 respectively, find its second term.

The product of 3rd term and 8th terms of a G.P. is 243. If its 4th term is 3, find its 7th term.

Second term of a geometric progression is 6 and its fifth term is 9 times of its third term. Find the geometric progression. Consider that each term of the G.P. is positive.

The fourth term, the seventh term and the last term of a geometric progression are 10, 80 and 2560 respectively. Find its first term, common ratio and number of terms.

The product of 3^rd term and 8^th terms of a G.P. is 243. If its 4^th term is 3, find its 7^th term.