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 a formula to describe the sequence 1, 3, 9, 27…

$a_{n} = 9 (a_{n - 1})$
$a_{n} = 3^{n - 1}$
$a_{n} = a + (n - 1) d$
$a_{n} = 3 {(1)}^{n - 1}$

hint Hint:

The given series is a geometric progression with first term 1 and constant ratio 3

The correct answer is: $a subscript n end subscript equals 3 to the power of n minus 1 end exponent$

The constant ratio of the given sequence is 3.
The first term is 1.
The recursive formula to describe the sequence is $a subscript n end subscript equals 3 open parentheses a subscript n minus 1 end subscript close parentheses$
The explicit formula to describe the sequence is $a subscript n end subscript equals 1 open parentheses 3 close parentheses to the power of n minus 1 end exponent$

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.