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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)
Correct Answer: Option A
Explanation

(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)