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Arithmetic Progressions

Question 1:

Find the sum of the following APs.

(i) 2, 7, 12 ,…., to 10 terms.

(ii) − 37, − 33, − 29 ,…, to 12 terms

(iii) 0.6, 1.7, 2.8 ,…….., to 100 terms

(iv) ,………, to 11 terms

Answer:

(i)2, 7, 12 ,…, to 10 terms

For this A.P.,

a = 2

d = a2a1 = 7 − 2 = 5

n = 10

We know that,

(ii)−37, −33, −29 ,…, to 12 terms

For this A.P.,

a = −...

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