Question

Find the summer of series 1+3+9+.......up to 10 terms

Answer 1

The summer of series 1 + 3 + 9 +.......up to 10 terms is "$\dfrac{(3^{10} -1) }{2$".

Step-by-step explanation:

The summer of series 1 + 3 + 9 +.......up to 10 terms

The given series are in G.P.

Here, first term(a) = 1, number of terms (n) = 10 and

common ration(r) = $\frac{3}{1}$ = 3

∴ the sum of the G.P.,

s_n = $\dfrac{a(r^{n} -1) }{r -1}$

= $\dfrac{1(3^{10} -1) }{3 -1}$

= $\dfrac{(3^{10} -1) }{2$

Hence, the summer of series 1 + 3 + 9 +.......up to 10 terms is "$\dfrac{(3^{10} -1) }{2$".