Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Mathematics

Grade10

Easy

Question

Write the expansion of the series $not stretchy sum subscript n equals 1 end subscript superscript 7 end superscript 3 open parentheses fraction numerator 2 over denominator 3 end fraction close parentheses to the power of n minus 1 end exponent$ .

8
$1 + 9 + \frac{7}{8} + \frac{3}{2}$
$3 + 2 + \frac{4}{3} + \frac{8}{9} + \frac{16}{27} + \frac{32}{81} + \frac{64}{243}$
2 + 3

hint Hint:

The given is a recursive formula for a geometric progression with first term 3 and $2 over 3$ as the common ratio

The correct answer is: $3 plus 2 plus fraction numerator 4 over denominator 3 end fraction plus fraction numerator 8 over denominator 9 end fraction plus fraction numerator 16 over denominator 27 end fraction plus fraction numerator 32 over denominator 81 end fraction plus fraction numerator 64 over denominator 243 end fraction$

The expansion of the given series is $3 plus 2 plus fraction numerator 4 over denominator 3 end fraction plus fraction numerator 8 over denominator 9 end fraction plus fraction numerator 16 over denominator 27 end fraction plus fraction numerator 32 over denominator 81 end fraction plus fraction numerator 64 over denominator 243 end fraction$

Related Questions to study

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.