If a man earns a salary of 2500 per annum and given a raise of 500 at the end of the year, it means that his salary increases by 500 every year. This is an example of an arithmetic progression (AP) where the first term (a) is 2500 and the common difference (d) is 500.
To find the total amount the man will earn in 8 years, we need to find the sum of the first 8 terms of this arithmetic progression.
The formula for the sum of the first n terms of an arithmetic progression is given by:
S = n/2 [2a + (n-1)d]
where:
S = sum of the n terms
n = number of terms
a = first term
d = common difference
Here, n = 8, a = 2500 and d = 500. Plugging these values into the formula, we get:
S = 8/2 [2(2500) + 7(500)]
S = 4 [5000 + 3500]
S = 4 * 8500
S = 34000
Therefore, the man will earn a total of 34000 in 8 years.
A Man earn a salary of 2500 per annum. If a rise of 500 is given at the end of the year. Find the total amount the man will earn in 8 years (AP)
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