The first three term of a sequence are given: 2,8,14. Find the 35th term

Eliza Gregory

Eliza Gregory

Answered question

2022-10-27

The first three term of a sequence are given: 2,8,14. Find the 35th term

Answer & Explanation

Jean Deleon

Jean Deleon

Beginner2022-10-28Added 14 answers

This is an arithmetic sequence, where d is the common difference between two consecutive items.
Generally, the nth term, a n , of an arithmetic series is given by:
a n = a 1 + ( n - 1 ) d
Here, a 1 = 2 , the first term, and d=6. We can input these two values into the general equation:
a n = 2 + 6 ( n - 1 )
a n = 2 + 6 n - 6
a n = 6 n - 4
This is the formula for this sequence. We can use the general equation, but this works too, and it is simpler. Inputting n=35, we get:
a 35 = 6 35 - 4
a 35 = 210 - 4
a 35 = 206

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