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the start of a sequ ence is show ln below. 8, 27, 64, 125,ldots in what position does the term 343 appear?

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)
Verificación de expertos
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_**'.