Question

If g (n +1) = g (n) +6 and g (1)=-25 then g (26)=?

(1) 131
(2) 125
(3) 54
(4) -19

Answer 1

• (2) 125

---------------------------

Given is an AP with:

• The first term of - 25,
• Common difference of 6.

Use the explicit rule to find the 26th term:

• t(n) = t + (n - 1)d, where t- the first term and d - common difference

• g(n) = - 25 + 6(n - 1) = - 25 + 6n - 6 = 6n - 31
• g(26) = 6*26 - 31 = 156 - 31 = 125

Correct choice is (2).