Question

find the 14th term of the sequence: 4, 7, 10, 13, … a 43 b 40 c 37 d 46

Explanation:

Step1: Identify sequence type

The sequence 4,7,10,13,... is arithmetic with first term $a_1=4$ and common difference $d=3$.

Step2: Use arithmetic term formula

The nth term formula is $a_n = a_1 + (n-1)d$.

Step3: Calculate 14th term

Substitute $a_1=4$, $d=3$, $n=14$: $a_{14}=4 + (14-1)\times3 = 4 + 39 = 43$.

Answer:

A. 43