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2019 WAEC Mathematics Theory The second, fourth and sixth terms of an Arithmetic Progression (AP.) are x - 1,...

Mathematics
WAEC 2019

The second, fourth and sixth terms of an Arithmetic Progression (AP.) are x - 1, x + 1 and 7 respectively. Find the:

(a) common difference;

(b) first term;

(c) value of x.

 

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Explanation

(a) The second term is a + d= x - 1 while the fourth term is a + 3d = x + 1. Subtracting the second term from the fourth term yielded 2d = 2 so that d = 1.

(b). Substituting for d in the expression for the sixth term to get a + 5d = 7; a + 5(1) = 7 and solving for a to obtain a = 2.

(c). Substituted for a and d in the expression for the second term( a + d  = x - 1) and found x = 2 + 1 + 1 = 4.


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WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts