Answer:
72.3
Step-by-step explanation:
Given that:
The arithmetic sequence:
[tex]\sum \limits ^{14}_{k=0} (3 + 0.26k)[/tex]
The first term of the sequence [tex]a_0[/tex] = 3 since k = 0
i.e (3 + 0.26(0)) = 3
The last term of the sequence [tex]a_{14}[/tex] = 6.64
i.e (3+ 0.26(14)
= (3 + 3.64)
= 6.64
Total no of terms = 15 i.e from 0 to 14
∴
The partial sum of the arithmetic sequence = [tex]\dfrac{Total \ no \ of \ terms }{2} \times (a_o+a_{15})}[/tex]
[tex]=\dfrac{15 }{2} \times (3+6.64)}[/tex]
= 72.3
