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Home » A manufacturer of the radio sets produced 600 units in the third year and 700 units in the seventh year. Assuming that the product increases uniformly by a fixed number every year, find (і) the product in the 10th year.
A manufacturer of the radio sets produced 600 units in the third year and 700 units in the seventh year. Assuming that the product increases uniformly by a fixed number every year, find
(і) the product in the 10th year.
Arithmetic Progressions | CBSE | Class 11 | Exercise 19.7 | Maths | RD Sharma
A manufacturer of the radio sets produced 600 units in the third year and 700 units in the seventh year. Assuming that the product increases uniformly by a fixed number every year, find
(і) the product in the 10th year.

Solution:

Given that,

In the third and seventh year 600 and 700 radio sets units are produced, respectively.

a_3 = 600 and a_7 = 700

(i) The product in the 10^{\text {th }} year.
Find the product in the 10^{\text {th }} year i.e. \mathrm{a}_{10}
Using the formula,
\begin{array}{l} a_{n}=a+(n-1) d \\ n=10, a=550, d=25 \\ a_{10}=550+(10-1) 25 \\ =550+(9) 25 \\ =550+225 \\ =775 \end{array}
As a result, the product in the 10^{\text {th }} year is 775 .

i

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