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Arithmetic Progressions

Answer:

In the given problem, we need to find the sum of terms for different arithmetic progressions. So, here we use the following formula for the sum of n terms of an A.P.,

Where; a = first term for the given A.P.

d = common difference of the given A.P.

n = number of terms

(i) To 10 terms

Common difference of the A.P. (d)

=

Number of terms (n) = 10

First term for the given A.P. (a) = 50

So, using the formula we get,

Therefore, the sum of first 10 terms for the given A.P. is.

(ii) To 12 terms.

Common difference of the A.P. (d)

=

Number of terms (n) = 12

First term for the given A.P. (a) = 1

So, using the formula we get,

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