A sequence can be generated by using the equation shown, where a1 = 12 and n is a whole number greater than 1.
an = 1.5 + a (n-1)
What are the first four terms in the sequence?
To find the first four terms of the sequence, we can substitute the values of n=2, n=3, and n=4 into the equation.
a2 = 1.5 + a(2-1) = 1.5 + a = 1.5 + 12 = 13.5
a3 = 1.5 + a(3-1) = 1.5 + 2a = 1.5 + 2(12) = 1.5 + 24 = 25.5
a4 = 1.5 + a(4-1) = 1.5 + 3a = 1.5 + 3(12) = 1.5 + 36 = 37.5
Therefore, the first four terms of the sequence are 12, 13.5, 25.5, and 37.5.