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The nth term of a sequence is 8(2^n + 2^(6n-7)). a) Without a calculator, find the 2nd term of this sequence, b)​​​​​​​ Express the formula in the form 2^x + 2^y

To find a) just plug in the number two to all places where n appears. In this case 8(2^2 + 2^(6 * 2 - 7)) and then number crunch. 8(4+2^5) -> 8 * (4 + 32) -> 8 * 36= 288. To find part b, we must first ...
TP
Answered by Tom P. • Maths tutor
5330 Views

Simplify fully: (7x^2 - 21x)/(x^2 + 2x - 15)

This one is quite complicated to answer typed up like this and i would definitley use a white board Show that 7x^2 - 21x can be come x(7x-21) which can in turn become 7x(x-3) Show that x^2 + 2x - 15 can beco...
DG
Answered by Dominic G. • Maths tutor
5788 Views

What is 2/3 + 1/4?

When adding or subtracting fractions, we must always start by putting the fractions over the same denominator , that is the number on the bottom half of the fraction. To do this, we need to find a number whi...
CC
Answered by Catherine C. • Maths tutor
226774 Views

Callum mixes a drink such that the Fruit Juice and Water is a ratio of 1:4 respectively. Calculate how much of both the Fruit Juice and the Water Callum will need in order to make 2 litres of juice. (Water: ____ml, Fruit Juice: ____ml )

A ratio of 1:4 means there are 5 parts to the mixture. 2 litres of drink divided into 5 parts means there are 400 ml per part (2000ml/5 parts). As Fruit Juice has 1 part, Callum would need 400ml. As Water ha...
CM
Answered by Charlotte M. • Maths tutor
25036 Views

what is half of five-eights as a percentage?

(1/2)x(5/8)=5/16 100/16=6.25 6.25 x 5 = 31.25
DM
Answered by Devshi M. • Maths tutor
4156 Views