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What is the sum of the first 10 terms of the geometric series 32 + 16 + 8 + ... ?

Here we need to use the formula for the sum of a geometric series up to n terms: s = a*(r^n-1)/(r-1). In this formula, 'a' is the first term of the series, 'r' is the common ratio between each consecutive...

EC
Answered by Eleanor C. Maths tutor
11691 Views

Find the set of values of x for which 3x^2+8x-3<0.

This is a question involving inequalities. An inequality is a statement about real numbers involving one of the symbols >, ≥, ≤, <. In our question we have to find when function f(x)=3x^2+8x-3 is le...

HG
Answered by Huong Giang T. Maths tutor
20327 Views

Show that n²-n-90=0

FULL QUESTION: here are n sweets in a bag. Six of the sweets are orange. The rest of the sweets are yellow. Hannah takes a sweet from the bag. She eats the sweet. Hannah then takes at random another swee...

VM
Answered by Vihaan M. Maths tutor
10408 Views

Write x^2 – 10x + 12 in the form (x – a)^2 + b , where a and b are integers.

This is a past exam question from a real GCSE paper, and is an example of "completing the square." I will show you 4 steps for answering this question. ¬¬¬ The first step is to check whether the...

EY
Answered by Emily Y. Maths tutor
27170 Views

A particle of mass 0.25 kg is moving with velocity (3i + 7j) m s–1, when it receives the impulse (5i – 3j) N s. Find the speed of the particle immediately after the impulse.

In order to answer this question, we must first understand the concept of impulse. When a force acts on an object, its momentum is being changed, and this change is defined as the impulse. Put simply, Imp...

AM
Answered by Aashish M. Maths tutor
8056 Views

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