Sum

In the winter season let us take the temperature of Ooty from Monday to Friday to be in A.P. The sum of temperatures from Monday to Wednesday is 0°C and the sum of the temperatures from Wednesday to Friday is 18°C. Find the temperature on each of the five days.

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#### Solution

Let the five days temperature be (a – d), a, a + d, a + 2d, a + 3d.

The three days sum = a – d + a + a + d = 0

⇒ 3a = 0 ⇒ a = 0 ...(given)

a + d + a + 2d + a + 3d = 18

3a + 6d = 18

3(0) + 6d = 18

6d = 18

d = `18/6` = 3

∴ The temperature of each five days is a – d, a, a + d, a + 2d, a + 3d

0 – 3, 0, 0 + 3, 0 + 2(3), 0 + 3(3) = – 3°C, 0°C, 3°C, 6°C, 9°C

Concept: Arithmetic Progression

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