Question

A radio station is giving away a total of Rs 124,000 in August on promotion. If they increase the amount given away each day by Rs 100.

(i) How much should they give away the first day?
(ii) How much have they give away on the 15th day ?​

Answer 1

On the first day the company is giving Rs124, 000.

On the fifteenth day the company will give Rs 125400

The amount they wanted to give in august for promotion is Rs 124,000. They increased the amount each day by Rs 100.

Therefore, the sequence will be as follows;

124,000, 124,100, 124,200 .......

i.

The amount they will give on the first day is Rs124, 000

Arithmetic progression formula

• aₙ = a + (n - 1)d

ii

The sequence is increasing by 100. Therefore,

common difference = 100

first term = 124, 000

Therefore,

a₁₅ = 124000 + (15 - 1)100

a₁₅ = 124000 + 1400

a₁₅ = 125400

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