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

What is the 10^th term of the geometric sequence 1, 4, 16, 64…?

5376
1208
9221
262144

hint Hint:

The explicit formula is, $a subscript n end subscript equals a subscript 1 end subscript cross times open parentheses r close parentheses to the power of n minus 1 end exponent$

The correct answer is: 262144

Using the explicit formula, $a subscript n end subscript equals a subscript 1 end subscript cross times open parentheses r close parentheses to the power of n minus 1 end exponent$
For the given sequence, the constant ratio is $fraction numerator 4 over denominator 1 end fraction equals 4$
So, $a subscript 10 end subscript equals 1 cross times open parentheses 4 close parentheses to the power of 9 end exponent$
= 262144

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.