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Find the nth term of the sequence 4, 10, 16 ,......

Find the nth term of the sequence 4, 10, 16 ,...

A.

2(3n- 1)

B.

2(2 + 3 ^n-1)

C.

2 ⁿ + 2

D.

2(3n+2)

View answer & explanation

Correct answer is A

$T_{1} = 4; T_2 = 10; T_3 = 16$

$T_{2} - T_1 = T_3 - T_1 = 6$

$T_n = a + (n - 1) d$

= $4 + (n - 1) \times 6$

= $4 + 6n - 6$

= $6n - 2$

= 2(3n - 1)

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