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Question

Monthly savings were 4000, 4400, 4840, and 5324.

Estimate the savings in the sixth month if the same trend continues.

The correct answer is

6442

Check the pattern between consecutive months: 4400 ÷ 4000 = 1.1, 4840 ÷ 4400 = 1.1 and 5324 ÷ 4840 = 1.1.

So the savings grow by 10% every month, i.e. each term is 1.1 times the previous one.

Fifth month: 5324 × 1.1 = 5856.4.

Sixth month: 5856.4 × 1.1 = 6442.04 ≈ 6442 (equivalently, 4000 × 1.15 = 6442.04).

Hence, the estimated savings in the sixth month are 6442.

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