Find the sum of the following arithmetic progressions:

a + b, a – b, a – 3b, … to 22 terms

for the given AP the first term a is a + b, and common difference d is a difference of the second term and the first term, which is a - b - (a + b) = - 2b


To find: the sum of given AP


The formula for sum of AP is given by



Substituting the values in the above formula



s = 11(2a - 40b)


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