Question

What should come in the place of question mark (?) In the following series? 17,34,38,114,120,480?

Answer 1

Answer:

17.34.38..114.120.480.540

Answer 2

$Given \: sequence : 17,34,38,114,120,480$

/* Observe the sequence , we can find following pattern */

$i) First \:term (a_{1})= 17$

$ii) Second \:term (a_{2})\\= 2\times a_{1} \\= 2 \times 17 \\= 34$

$iii) Third \:term (a_{3})\\= a_{2}+4 \\= 34+4 \\= 38$

$iv) Fourth\:term (a_{4})\\= 3\times a_{3} \\= 3 \times 38 \\= 114$

$v) Fifth \:term (a_{5})\\= a_{4}+6 \\= 114+6\\= 120$

$vi) Sixth\:term (a_{6})\\= 4</p><p>\times a_{5} \\= 4 \times 120\\= 480$

$\red{ Next \:term (a_{7})} \\= a_{5} + 8 \\= 480 + 8 \\\green {= 488}$

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