tmua.me Extreme Set B Paper 1 · Question 19

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tmua.me Extreme Set B Paper 1 · Q19

Paper 1Sequences & series

The nine entries in the array

\begin{array}{ccc} 1&a&b\\ c&d&e\\ f&g&225 \end{array}

are distinct positive integers.

In each row, the entries from left to right form an arithmetic progression. In each column, the entries from top to bottom form a geometric progression.

What is the value of $d$ ?

13

15

25

39

75

117

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