A following give a geometric sequence 2,p,q,250,find the 11th term when p=10 and q=50

2 answers

The difference between them is 5, so multiply 250 by 5, then multiply 1250 by 5, and so until you reach the 11th term.
Let me know if this helps!😀
If p = 10 and q = 50 the terms are:

2 , 10 , 50 , 25

The n-th term of a geometric sequence:

xn = a rⁿ⁻¹

where a is the the first term and r is the common ratio.

in this case a = 2 , r = 5

x11 = a r¹¹⁻¹ = a r¹⁰ = 2 ∙ 5¹⁰ = 2 ∙ 9 765 625 = 19 531 250‬