Question

find the wrong term 0,0,1,3,5,10,15,21​

Answer 1

Given:

The given terms are 0, 0, 1, 3, 5, 10, 15, 21​.

To find:

We need to find the wrong term in the given series.

Solution:

Let,

0 be the 1st term, 0 be the 2nd term, 1 be the 3rd term,

3 be the 4th term, 5 be the 5th term, 10 be the 6th term,

15 be the 7th term, 21 be the 8th term.

Now, find the difference between adjacent terms.

2nd term - 1st term $=0-0=0$

3rd term - 2nd term $=1-0=1$

4th term - 3rd term $=3-1=2$

5th term - 4th term $=5-3=2$

6th term - 5th term $=10-5=5$

7th term - 6th term $=15-10=5$

8th term - 7th term $=21-15=6$

If we observe carefully, we can get a pattern.

0, 1, 2, 2, 5, 5, 6.

In this pattern, first 3 terms have proper pattern i.e., the difference between each numbers is 1. So, the next number will 3, then 4, then 5 and then 6.

The pattern will be like this: 0, 1, 2, 3, 4, 5, 6

Assume that series starts with 0 (1st term).

If we add 0 to 1st term, we get 0 $(0+0=0)$, which is 2nd term.

If we add 1 to 2nd term, we get 1 $(0+0=0)$, which is 3rd term.

If we add 2 to 3rd term, we get 3 $(0+0=0)$, which is 4th term.

If we add 3 to 4th term, we get 6 $(3+3=6)$, which is 5th term.

If we add 4 to 5th term, we get 10 $(6+4=10)$, which is 6th term.

If we add 5 to 6th term, we get 15 $(10+5=15)$, which is 7th term.

If we add 6 to 7th term, we get 21 $(15+6=21)$, which is 8th term.

So, the series will be, 0, 1, 3, 6, 10, 15, 21.

Therefore, the wrong term is 5. Instead of 5, we need to write 6.

Answer 2

Answer:

Step-by-step explanation: