what should come in place of the question mark(?) in the following number series
( i) 563 582 620 677 753 848 ?
( ii ) 17 17 51 255 1785 16065 ?
Answers
Answer:
The correct answers are
(i) 563 582 620 677 753 848 962
(ii) 17 17 51 255 1785 16065 176715
Step-by-step explanation:
Number Sequence:
A series of valid numbers that form a relation between the adjacent numbers of each number in the series forming a sequence is known as a number sequence.
- maybe an Arithmetic progression
- maybe a geometric progression
- and any other logical sequence between every number.
consider question number 1 -----> 563 582 620 677 753 848 ?
in this question, we can see a valid sequence or pattern between every number.
1) 582 - 563 = 19 (19 * 1)
2) 620 - 582 = 38 (19 * 2)
3) 677-620 = 57 (19 * 3)
4) 753 - 677 = 76 (19 * 4)
5) 848 - 753 = 95 (19 * 5)
if we observe this pattern, we are obtaining a series of 19th table.
so in 6th case
6) 848 + (19 * 6) = 848 + 114 = 962
hence the sequence becomes 563 582 620 677 753 848 962
consider question number 2 ------> 17 17 51 255 1785 16065 ?
in this question, we can see a multiplication pattern in between every number.
1) 17 * 1 = 17
2) 17 * (1 + 2) = 51
3) 51 * (1 + 2 + 2) = 255
4) 255 * (1 + 2 + 2 + 2) = 1785
5) 1785 * (1 + 2 + 2 + 2 + 2) = 16065
if we observe this pattern, every next number is obtained by the multiplication of the previous number with the respective odd number.
so in 6th case
6) 16065 * (1 + 2 + 2 + 2 + 2 + 2) = 16065 * 11 = 176715
hence the sequence becomes 17 17 51 255 1785 16065 176715.
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