Answer:
24.5
Step-by-step explanation:
The mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
The consecutive terms in the sequence have a common difference d
d = 7 - 2 = 12 - 7 = 17 - 12 = 5
This indicates the sequence is arithmetic with sum to n terms
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = 5 , thus
[tex]S_{10}[/tex] = [tex]\frac{10}{2}[/tex] [ (2 × 2) + (9 × 5) ]
= 5(4 + 45)
= 5 × 49 = 245 , then
mean = [tex]\frac{245}{10}[/tex] = 24.5
