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A person makes deposits into a savings account. The deposits form an arithmetic progression. The 4th deposit is 150,000 FCFA and the 6th deposit is 250,000 FCFA. Find the first deposit and the common

Mathematics

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Question 17:
This is an arithmetic progression problem.

Step 1: Identify the given terms in the arithmetic progression (AP).
We are given the 4th4^{th} deposit (a4a_4) and the 6th6^{th} deposit (a6a_6).

a4=150 000 FCFAa_4 = 150\,000 \text{ FCFA} a6=250 000 FCFAa_6 = 250\,000 \text{ FCFA}

Step 2: Use the formula for the nthn^{th} term of an AP, an=a1+(n−1)da_n = a_1 + (n-1)d, where dd is the common difference.
For a4a_4:

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