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The first term of an infinite geometric series is 48. The ratio of the series is 0.6. (a) Find the third term of the series. (b) Find the sum to infinity. (c) The nth term of the series is u_n. Find the value of the sum from n=4 to infinity of u_n.

Note here: u_n indicates u subscript n. (a) u_1 = 48 and the ratio, r = 0.6 Using a calculator, u_2 = 48 x 0.6 = 28.8 u_3 = 28.8 x 0.6 = 17.28 (b) We have the known result that the sum to infinity of a geome...
FS
Answered by Felix S. • Maths tutor
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Express 0.545454... as a fraction in its simplest form.

First, we are going to give our decimal a name, let's call it x. We notice that x repeats after two digits, so how about we look at 100x. 100x = 54.54545454... But, the decimal part of this number is what we...
FS
Answered by Felix S. • Maths tutor
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Solve x^2-5*x+6=0

There are 2 methods we can use here. Method 1 - Factorisation If we can rewrite the equation so that it looks like (x+a)*(x+b)=0, where 'a' and 'b' are numbers, then we can easily find a solution. If one or ...
HD
Answered by Hannah D. • Maths tutor
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expand the brackets (x+5)(x+3) furthermore what are the two values of x

X 2 +3X+5X+15 Take the first X in the first bracket and multiply by every number or letter in the second bracket. Take the Second number in the first bracket and multiply by every number or letter in the sec...
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Answered by Shaun W. • Maths tutor
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Find D when 8x^3-12x^2-2x+D is divided by 2x+1 when the remainder is -2

8x 3 -12x 2 -2x+D...(1) 2x+1...(2) Assume 2x+1=0 so x=-1/2 8x 3 -12x 2 -2x+D=-2... when divided by (2) substitute -1/2 into all X values rearrange to find D
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Answered by Shaun W. • Maths tutor
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