Suppose be in an arithmeticogeometric progression

MATHEMATICS · Subjective · A Level · Mathematics · Sequences and series · Sequences and series

Problem

Suppose a1,a2,2,a3,a4a_1, a_2, 2, a_3, a_4 be in an arithmeticogeometric progression. If the common ratio of the corresponding geometric progression is 2 and the sum of all 5 terms of the arithmeticogeometric progression is 492\frac{49}{2}, then a4a_4 is equal to ______.

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