Question

What is the next number in the sequence below?
3 7 12 18 25

Answer 1

Answer:

The sixth term in the series 3, 7, 12, 18, 25... is 32.

Step-by-step explanation:

for the series: 3, 7, 12, 18, 25, ...

3=0+3

7=3+4

12=7+5

18 = 12 + 6

25 = 18+ 7

We conclude that:

Each term is equal to the previous term plus n+2

t0 = 0

t1= t0+ (1 + 2) = 3

t2= t1+ (2 + 2) = 7

t3= t2+ (3 + 2) = 12 and so on..

So for the nth term we can write the formula as :

tn =(tn - 1)+(n+2)

So for the 6th term,

t6=(t5-1)+(6+2)=(25-1)+(8)= 24+8= 32

So the next term in the series 3, 7, 12, 18, 25.. after 25 is 32.

Project code #SPJ2

Answer 2

Answer:

33 is the next number in the given sequence.

Step-by-step explanation:

Explanation:

Given , 3, 7, 12 , 18 , 25.

Here we can see that sequence are in the form,

n , (n+4) , (n+5), (n +6)

Where n = 3

So, according to the sequence.

3

3 + 4 = 7

7 + 5 = 12

12 +6 = 18

18 + 7 = 25

so, the next term is , 25 + 8  = 33

Final answer:

Hence, the next number in the given sequence is 33.

#SPJ2