Given ap -10 -5 0.... Identify three consecutive terms of ap thoese sum is 90
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Answer:
Sum of 6th, 7th and 8th terms = 90
Step-by-step explanation:
In AP, given:
- a₁=-10
- d=5
To find:
aₙ+aₙ₊₁+aₙ₊₂=90
Based on the given:
- aₙ=a₁+(n-1)d= -10+5(n-1)=5n-5
- aₙ₊₁=aₙ+d=5n
- aₙ₊₂=aₙ+2d=5n+5
aₙ+aₙ₊₁+aₙ₊₂=90
- 5n-5+5n+5n+5=90
- 5n*3=90
- 5n=30
- n=6
25+30+35=90
Answer: sum of 6th, 7th and 8th terms = 90
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