Tanya forms her sequence by starting with the number 2 and adding 3 continuously. She gets the following: 2, 5, 8, 11, 14, and so on. Joe forms his sequence by starting with the number N (not 2) and adding the number D (not 3) continuously. His second number is 9 and his fifth number is 21. what is his 1000th number
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Step-by-step explanation:
d = term difference ÷ position difference
=5th term - second term ÷ 5 - 2
= 21 - 9 ÷ 5 - 2
= 4
f = 5th term- 4d
= 21 - 4×4
= 21 - 16
= 5
1000th term = dn + (f - d)
= 4×1000 + (5 - 4)
= 4000 + 1
= 4001
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