What is the sum of the first 100 numbers of the following sequence- 4,12,36, 108, .........

This question is about geometric sequences. The first step in solving this question is identifying that each term is multiplied by 3 to get to the next term.Therefore since the formula for finding the sum of a certain number of terms is - a(1-rn)/1-r.You would just put the numbers in to the formula. A is the first number so 4, r is the factor by which each term is multiplied by so 3, n is the number of terms which is 100.
If your calculations are correct you should get an answer of 1.03x1048

HG
Answered by Harry G. Maths tutor

3674 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

66 people went on a day trip and each took part in one activity: skating, bowling or painting. 43 were female. 4 out of the 10 that went skating were male. 20 people did painting. 10 males went bowling. How many females did painting?


What is 45% of 60?


write (3.2 x 10^4) - (5 x 10^3) in standard form


Nadia has £5 to buy pencils and rulers. Pencils are 8p each. Rulers are 30p each. She says “I will buy 15 pencils. Then I will buy as many rulers as possible. With my change I will buy more pencils.” How many pencils and how many rulers does she buy?


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning