Question

What are the first 4 terms use the explicit rule:f(n) = 1/2n + 1 can someone please help me with an explanation

Answer 1

Given explicit rule is:

f(n) = 1/2*n + 1

With an explicit rule, we can find any term by replacing n with that term.

For example,

when n = 1

f(n) = 1/2*n + 1

f(1) = 1/2 *1 + 1

f(1) = 1/2 + 1

f(1) = 3/2

n = 2

f(2) = 1/2 * 2 + 1

f(2) = 1 + 1

f(2) = 2

n = 3

f(3) = 1/2 * 3 + 1

f(3) = 3/2 + 1

f(3) = 5/2

n = 4

f(4) = 1/2 * 4 + 1

f(4) = 2 + 1

f(4) = 3

Hence, the first four terms are: 3/2, 2, 5/2, 3