# what is the 5th term of the given sequence 1,3,6,10,15,21,23?

### 10 Answers

- Anonymous3 weeks ago
What do you mean by the 5th term?

- PuzzlingLv 73 weeks ago
This appears to be the sequence of triangular numbers with a typo of 23 (should probably be 28).

To find the 5th term, just count over.

1st term = 1

2nd term = 3

3rd term = 6

4th term = 10

5th term = 15 <--

If you add up the first n counting numbers, notice what you get:

1 = 1

1+2 = 3

1+2+3 = 6

1+2+3+4 = 10

1+2+3+4+5 = 15 <--

If we continue the pattern, we see you seem to have a mistake:

1+2+3+4+5+6 = 21

1+2+3+4+5+6+7 = 28

Answer:

The 5th term is clearly 15.

P.S. In some contexts, books will start at a "zeroth" term. But since that isn't stated explicitly, it's probably safe to assume that the first number in your list is the *first* term, not the zeroth term.

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- 3 weeks ago
It's 21 because most sequences start at 0 which is the zeroth term of the sequence.