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Answered

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1.what is the 50th term in the squence -7,-4,-1,-2?
2.find the first term in the squence in which a 15=40 and the common difference 15-2?
3.determine the 30th term if the 8th term is 14 and the 20th term is 21?
4.find the 16th term in the squence in which the first term is 0.5 and the common difference is 1.5?

Sagot :

Mlcparra16idn
Formula:
[tex]a_n=a_1+(n-1)d[/tex]

1.) The common difference is -4-(-7)=3
50th term = -7+(49)3 = -7+147 = 140

2.) 15th term = 1st term + (14)15
40 = 1st term + 190
-150 = 1st term

3) (20-8)d = 20th term - 8th term
12d = 21 - 14
12d = 7
d = 7/12

30th term - 20th term = (30-20)d
30th term - 21 = 10*7/12
30th term = 35/6 + 21
30th term = 161/6 = 26 2/3

4) 16th term = 1st term + 15d = 0.5 + 15(1.5) = 0.5 + 22.5 = 23
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