Question

# After the first raffle drawing 497 tickets remain. After the second raffle drawing, 494 tickets remain. Assuming that the pattern continues, write an explicit formula for arithmetic sequence to represent the number of raffle tickets that remain after each drawing. How many tickets remain in the bag after the seventh raffle drawing?

Hint:

- A sequence is said to be arithmetic if the common difference is always constant.
- The General formula of any AP is .

## The correct answer is: a_n=479.

### Explanation:

- We have given after the first raffle drawing, 497 tickets remain. After the second raffle drawing, 494 tickets remain. Assuming that the pattern continues.
- We have to find an explicit formula for arithmetic sequence to represent the number of raffle tickets that remain after each drawing. How many tickets remain in the bag after the seventh raffle drawing?

Step 1 of 2:

We have given after the first raffle drawing, 497 tickets remain. After the second raffle drawing, 494 tickets remain. Assuming that the pattern continues.

It will form an AP with common difference

494 - 497 = -3

And First term is 497.

Now the explicit formula will be

Step 2 of 2:

After 7^{th} raffle drawing the ticket remains will be

And First term is 497.

Now the explicit formula will be

Step 2 of 2:

After 7

^{th}raffle drawing the ticket remains will be

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