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Mathematics

Grade10

Easy

Question

Write the recursive formula for a geometric sequence 2, 10, 50, 250, …

$a_{n} = 5 (2)$
$a_{n} = 5 (a_{n - 1})$
$a_{n} = a_{n - 1}$
$a_{n} = 5$

hint Hint:

The recursive formula for a geometric sequence is $a subscript n end subscript equals r open parentheses a subscript n minus 1 end subscript close parentheses$

The correct answer is: $a subscript n end subscript equals 5 open parentheses a subscript n minus 1 end subscript close parentheses$

The constant ratio of the given sequence is 5.
The recursive formula for a geometric sequence is $a subscript n end subscript equals r open parentheses a subscript n minus 1 end subscript close parentheses$
So, the recursive formula for the sequence 2, 10, 50, 250, … is $a subscript n end subscript equals 5 open parentheses a subscript n minus 1 end subscript close parentheses$

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