EduNinjaCAIE IGCSE Additional Math 12.4. Use finite progression formulas question practice helps you revise this syllabus point with the course map in view. Use this page to focus on one topic, check the style of questions available, and connect each attempt back to the knowledge area it is testing.
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A geometric progression is such that its sum to 4 terms is 17 times its sum to 2 terms. It is given that the common ratio of this geometric progression is positive and not equal to 1 .
Find the common ratio of this geometric progression.
Given that the 6th term of the geometric progression is 64, find the first term.
In an arithmetic progression:
- the first term is 3
- the sum of the first 10 terms is 4 times the sum of the first 5 terms.
Find the common difference.
The 1st, 2nd and 5th terms of another arithmetic progression are the 1st, 2nd and 3rd terms of a geometric progression.
It is given that the 1st terms of the progressions are not 0.
Find the common ratio, r, where r=1, of the geometric progression.
The 3rd and 8th terms of a geometric progression are 6 and 1458 respectively. Find the common ratio and the first term of this progression.
A geometric progression has a 4th term of 278k6 and a 6th term of 24332k10, where k is a constant. The common ratio of this geometric progression is positive.
Find the common ratio in terms of k and the value of the first term of this geometric progression.
A geometric progression has first term a and common ratio r, where r>0. The second term of this progression is 8. The sum of the third and fourth terms is 160.
Show that r satisfies the equation r2+r−20=0.
Find the value of a.
An arithmetic progression has first term p and common difference 2. The qth term of this progression is 14.
A different arithmetic progression has first term p and common difference 4. The sum of the first q terms of this progression is 168.
Find the values of p and q.
The first three terms of an arithmetic progression can be written as
Given that x>1, find the least number of terms for the sum of this progression to be greater than 43ln(x24).
Given that the 25th term of this progression is equal to 408, find the exact value of x.
A geometric progression has third term 4.5 and sixth term 15.1875. Find the first term and the common ratio.
Find the sum of ten terms of the progression, starting with the sixteenth term. Give your answer to the nearest integer.
An arithmetic progression has first term a and common difference d.
Given that S20=3×S10, find a in terms of d.
In an arithmetic progression, the sum of the first 30 terms is -1065 . The sum of the next 20 terms is -2210 .
Find the first term and the common difference.
The third term of an arithmetic progression is 10 and the sum of the first 8 terms is 116 . Find the first term and common difference.
Find the sum of nineteen terms of the progression, starting with the twelfth term.