Mathematics
If you have ₹800 and you save ₹250 every month, find the amount you have after (i) 6 months (ii) 2 years. Express this as a linear pattern.
Answer
Initial amount = ₹800
Amount saved every month = ₹250
After n months, the total amount will be:
Amount = 800 + 250n
(i) After 6 months:
Amount = 800 + 250 × 6
= 800 + 1500
= ₹2300
∴ The amount after 6 months is ₹2300.
(ii) After 2 years:
2 years = 2 × 12 = 24 months
Amount = 800 + 250 × 24
= 800 + 6000
= ₹6800
∴ The amount after 2 years is ₹6800.
The linear pattern representing the amount after n months is (800 + 250n).
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