Question

Please help me answer for 29, 30, 31 please

Answer 1

Answer:

29. $f(10) = 0.0078$

30. $f(5)=40.5$

31. $f(2)=6$

Step-by-step explanation:

Question 29:

Given:

$f(n)=4\times (\frac{1}{2})^{n-1}$

Plug in 10 for n. This gives,

$f(10)=4\times (\frac{1}{2})^{10-1}\\f(10)=4\times (\frac{1}{2})^{9}=0.0078$

Therefore, the tenth term is 0.0078.

Question 30:

Given:

$f(n)=\frac{1}{2}\times 3^{n-1}$

Plug in 5 for n. This gives,

$f(5)=\frac{1}{2}\times 3^{5-1}=\frac{1}{2}\times 3^4=\frac{1}{2}\times 81=40.5$

Therefore, the fifth term is 40.5.

Question 31:

Given:

$f(1)=2, f(n)=f(n-1)+4$

Plug in 2 for n. This gives,

$f(2)=f(1) + 4\\f(2)=2+4=6$

Therefore, the second term is 6.