Answer:
- 494
Step-by-step explanation:
Breaking down the summation into it;s component parts
= 4k - [tex]\frac{3}{2}[/tex] k(k + 1) ← substitute k = 19
= (4 × 19 ) - 1.5 × (19 × 20)
= 76 - (1.5 × 380)
= 76 - 570
= 494
The value of the arithmetic series below is - 494
We have
To break down the summation into its component parts
[tex]S_{19}= 4k - \frac{3}{2} k(k + 1)[/tex]
[tex]= 4k - \frac{3}{2} k(k + 1) .... substitute\ k = 19[/tex]
[tex]= (4 \times 19 ) - 1.5 \times (19 \times 20)[/tex]
[tex]= 76 - (1.5 \times 380)[/tex]
[tex]=76-570[/tex]
= -494
The value of the arithmetic series below is 494.
To learn more about the arithmetic series visit:
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