Find the next term in series 7, 19, 33, 71, 137, 279, 2
Answers
The given series is 7, 19, 33, 71, 137, 279, ?
It follows the following pattern
19= 7×2+5
33= 19×2-5
71= 33×2+5
137= 71×2-5
279= 137×2+5
hence we can observe that the next term of the series is obtained by multiplying the previous term by 2 and adding and subtracting 5 alternatively.
so, the required number = 279×2-5 = 553.
next term is 553.
QUESTION:
The correct question should be:
Find the next term in series 7, 19, 33, 71, 137, 279,?
ANSWER:
The next term in the given series will be 553.
Given,
Series:
7, 19, 33, 71, 137, 279,?
To find,
Next term in the series.
Solution,
It can be seen here that the given series is,
7, 19, 33, 71, 137, 279.
On carefully observing the series, we can see that the pattern being followed is that, the next number is obtained by multiplying the previous number by 2 and then, alternately adding 5 to, and subtracting 5 from the product.
For example, the first number is 7 and the next is 19.
19 = 7×2 + 5, and then,
33 = 19×2 - 5.
Thus, for all the terms:
7×2 + 5 = 14 + 5 = 19
19×2 - 5 = 38 - 5 = 33
33×2 + 5 = 66 + 5 = 71
71×2 - 5 = 142 - 5 = 137
137×2 + 5 = 274 + 5 = 279
We've added 5 to obtain the last one, so we will subtract 5 in the next step.
So, the next number
= 279×2 - 5
= 558 - 5
= 553.
⇒ next number = 553.
Therefore, the next term in the given series will be 553.