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The Sums of N Terms of Two Arithmetic Progressions Are in the Ratio 5n + 4: 9n + 6. Find the Ratio of Their 18th Terms

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Question

The sums of n terms of two arithmetic progressions are in the ratio 5n + 4: 9n + 6. Find the ratio of their 18th terms

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Solution

Let a1, a2, and d1, d2 be the first terms and the common difference of the first and second arithmetic progression respectively.

According to the given condition,

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