FIND THE 7TH ELEMENT

Question

IF THE INITIAL VALUE OF A SEQUENCE IS 6 AND THE COMMON DIFFERENCE IS 6, WHAT IS THE 7TH ELEMENT?

Answer 1

Using the formula where a₀ is the initial value and a_n is the 'nth' term, while 'd' is the common difference:

 

a₇ = a₀ + (n-1) x d = 6 + (7-1) * x 6 = 6 + 36 = 42

 

QED