Respuesta :
Common difference is -2-5 = -7
first term is 5
a_50 = 5 -7(50-1) = -338
2) d = 3 - (-7) = 10
a = -7
a_110 = -7 + 10(110 - 1) = 1083
d = -27 - (-22) = -5
second -7 - 5= -12
third = -12 - 5 = -17
first term is 5
a_50 = 5 -7(50-1) = -338
2) d = 3 - (-7) = 10
a = -7
a_110 = -7 + 10(110 - 1) = 1083
d = -27 - (-22) = -5
second -7 - 5= -12
third = -12 - 5 = -17
We are required to 50th term of the sequence
The 50th term of the sequence 5,-2,-9,-16 is -338
1. 5,-2,-9,-16 ,,,
a = 5
d = -2 -5 = -7
50th term = a + (n - 1)d
= 5 + (50 - 1)-7
= 5 + (49)-7
= 5 + (-343)
= 5 - 343
= - 338
(2) -7,3,13,23
a = -7
d = 3 - (-7)
= 3 + 7 = 10
110th term = a + (n - 1)d
= -7 + (110 - 1)10
= -7 + (109)10
= -7 + 1090
= 1083
(3) -7___,___,-22,-27
a = -7
d = -27 - (-22)
= -27 + 22
= -5
2nd term = a + d
= -7 + (-5)
= -7 - 5
= -12
3rd term = a + 2d
= -7 + 2(-5)
= -7 + (-10)
= -7 - 10
= - 17
Therefore, the 50th term of the sequence 5,-2,-9,-16 is -338
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