Question

An= a+ nd is there any formula?​

Answer 1

Answer:

What is the meaning of this Formula A.P. tn = a + (n-1) d?

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Imagine the following situation: Suppose your initial wealth is $a and your monthly salary is $2d . Let us suppose you consume 50% of your salary during the month and save rest of it and use it to augment your wealth at the end of the month. What will be your accumulated wealth at the beginning of n th month?

Let us record the wealth levels at the beginning of every month:

1 st month: a (initial wealth)

2 nd month: a+d (initial wealth plus first month savings)

3 rd month: a+d+d=a+2d (initial wealth plus first month savings plus second month savings)

4 th month: a+d+d+d=a+3d (initial wealth plus savings during first three months)

: : :

n th month: a+(n−1)d (initial wealth plus savings during first (n−1) months)

This is an AP.

Explanation:

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