given a = 2, d = 8, S = 90, find n and an
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hey mate here is the answer
Step-by-step explanation:
90= n/2(2×2+(n-1)×8)
90×2 = 4n+n(n-1)×8
180= 4n +8n²-8n
180= 8n²-4n
45= 2n²-n
2n²-n-45= 0
2n²-10n+9n-45=0
(2n+9)(n-5)=0
2n+9=0
n= 9/2
n-5= 0
n= 5
an= a+(n-1) d
= 2+(5-1)8
= 2+32= 34
ans - n= 5 and an= 34
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