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I need help with getting the terms for this question

I need help with getting the terms for this question-example-1
User KBriggs
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(1) 17, 14, 11

(2) 3, 17, 87

(3) n th term = 6 + (n-1)×5

(1) To find the next term, we subtract three from the previous term

Since the first term here is 17, to find the next term we subtract 3 from it

17 - 3 = 14

Now to find the third term, we subtract 3 from the second term

14 - 3 = 11

So the sequence becomes 17, 14, 11,...

(2) To find the next term, we multiply the previous term by 5 and add 2

Since the first term here is 3, we multiply it with 5 and then add 2 to find the second term

3×5 + 2 = 15 + 2 = 17

Now to find the third term, we multiply the second term with 5 and then add 2

17×5 + 2 = 85 + 2 = 87

So the sequence becomes 3, 17, 87,....

(3) Now we have to find the nth term of the given sequence

6 11 16 21

We know the formula for nth term is = a + (n-1)d

For this sequence, a will be 6 as it is the first term

d will be = second term - first term or 11 - 6 = 5

So we put the values in the formula to get

nth term = 6 + (n-1)×5

User AeroX
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