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Sagot :
Answer:
3950
Step-by-step explanation:
-50 + (-44) + (-38) + 2038 + 2044
-94 + (-38) + 2038 + 2044
-132 + 2038 + 2044
1906 + 2044
3950
Hope this helps :)
Solution:
348950
Explanation:
- first lets confirm, which series this is from,
( first term + third term )/2 = second term
- (-50 + (-38) )/2 = -44
- -44 = -44
Thus it is arithmetic series.
[tex]\sf S_n = \dfrac{n}{2} (2a+(n-1)d)[/tex]
Solving step-wise:
- a₁ = -50
- aₙ = 2044
- n = ? = 350
- d = + 6
=================
- aₙ = a₁ + d(n-1)
- 2044 = -50 + 6(n-1)
- 6(n) - 6 = 2094
- 6(n) = 2100
- n = 350
Here,
[tex]\sf S_n = \dfrac{n}{2} (2a+(n-1)d)[/tex]
[tex]\sf S_n = \dfrac{350}{2} (2(-50)+(350-1)(6))[/tex]
[tex]\sf S_n =348950[/tex]
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