Question
The start of a sequ ence is show ln below. 8, 27, 64, 125,ldots In what position does the term 343 appear?
Answer
4
(190 Votes)
Harry
Veteran · Tutor for 11 years
Answer
Before identifying the position of the term 343 in the given sequence, let's first identify the pattern in the sequence
We can notice the given sequence seems likely to be a sequence of cubes, given that:
If this pattern continues, each term
is simply the previous term plus 1.Now let's check if 343 follows the same pattern. By calculating the cube root of 343,
So the pattern does continue because
. This means 343 follows two positions after 125. Because 125 is in 4th position, 343 is in
th position.So the term 343 appears in '**_6th position_**'.