61.1k views
0 votes
Given the sequence 10, 20, 40, 80,.... find 25th term​

2 Answers

3 votes

Answer:

167,772,160

Explanation:

-Each term is multiplied by 2-

10, 20, 40, 80, 160, 320, 640, 1,280, 2,560, 5,120, 10,240, 20,480, 40,960, 81,920, 163,840, 327,680, 655,360, 1,310,720, 2,621,440, 5,242,880, 10,485,760, 20,971,520, 41,943,040, 83,886,080, 167,772,160

167,772,160 is the 25th term

User Tybstar
by
8.1k points
5 votes
This sequence is a geometric sequence so u want to find out the formula

The formula for a geometric sequence is: ar to the power of n-1

A= first term and r= the factor between the terms (called the common ratio)

Now we juss input it in the formula

10 x 2 to the power of n-1

Now we want to work out the 25th term so n=25 we do 25-1=24

So it’s 10*2 to the power of 24

Answer: 167772160

Hope this helped
User Orimdominic
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories