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Sagot :
Answer:
-335670
Step-by-step explanation:
Given :
- a₁ = 2
- [tex]a_{i} = a_{i-1}-3[/tex]
Solving :
- Sum of an arithmetic sequence is given by
- S₃₃₅ = 335/2 x 2(2) + (335 - 1)(-3)
- S₃₃₅ = 335/2 x -4008
- S₃₃₅ = 335 x -2004
- S₃₃₅ = -335670
It forms a arithmetic sequence
- First term=a=2
- Common difference=d=-3
So
a_335:-
- a+334d
- 2-(334)(3)
- 2-1002
- -1000
So
S_n
- n/2[a+l]
- 335/2[2-1000]
- 335/2[-998]
- 335(-499)
- -167165
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