OCR A Level Math Exam Questions and Mark Scheme 1. i. The first three terms of an arithmetic progression are 2x, x + 4 and 2x − 7 respectively. Find the value of x. [3] ii. The first three terms of another sequence are also 2x, x + 4 and 2x − 7 respectively. a. Verify that when x = 8 the terms form a geometric progression and find the sum to infinity in this case. [4] b. Find the other possible value of x that also gives a geometric progression. [4] 2. Sarah is carrying out a seri...

OCR A Level Math Exam Questions and Mark Scheme 1. i. The first three terms of an arithmetic progression are 2x, x + 4 and 2x − 7 respectively. Find the value of x. [3] ii. The first three terms of another sequence are also 2x, x + 4 and 2x − 7 respectively. a. Verify that when x = 8 the terms form a geometric progression and find the sum to infinity in this case. [4] b. Find the other possible value of x that also gives a geometric progression. [4] 2. Sarah is carrying out a seri...

OCR A Level Math Exam Questions and Mark Scheme 1. i. The first three terms of an arithmetic progression are 2x, x + 4 and 2x − 7 respectively. Find the value of x. [3] ii. The first three terms of another sequence are also 2x, x + 4 and 2x − 7 respectively. a. Verify that when x = 8 the terms form a geometric progression and find the sum to infinity in this case. [4] b. Find the other possible value of x that also gives a geometric progression. [4] 2. Sarah is carrying out a seri...