find the 50th term of the sequence 5,-2,-9,-16 ,,,
A.-352
B.-343
C.-338
D.-331

find the 110th term of the sequence -7,3,13,23
A.1,083
B.-1,093
C.1,093
D.40

find the second and third term of the arithmetic sequence -7___,___,-22,-27
A.-12,-15
B.-17,-12
c.-10,-17
D.-12,-17

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




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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