Determine the 20th term of the sequence:-14,-8, -2, 4, 10, ...

100

Step-by-step explanation:

add 6 20 times (-14,-8,-2,4,10,16,22,28,34,40,46,52,58,64,70,76,82,88,94,100)

100.

Explanation:

Here the sequence is;

-14,-8,-2,4,10

Since the common difference is 6, its n term must be generated by 6n. But the first term is -14. so, the nth term must be 6n-20.

Because,

t1 = 6×1-20 = -14

t2 =6x2-20= -8

t3 = 6×3-20= -2

Similarly

nth term = 6n-20.

so,

t20 = 6×20 -20= 120 -20 =100.

Hope it will be helpful.

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