Question

in an a.s the ratio of 3rd and 6 th is
3:4.find the ratio of 6 to 10 th term?​

Answer 1

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Answer 2

Answer:

3:4

Step-by-step explanation:

Given in AP the ratio of 3rd and 6th is  3:4

Find the ratio of 6th to 10th term

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aₙ=a+(n-1)d

a₃=a+2d, a₆=a+5d, a₁₀=a+9d

a₃/a₆=3/4, a₆/a₁₀=?

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• (a+2d)/(a+5d)=3/4
• 4(a+2d)=3(a+5d)
• 4a+8d=3a+15d
• a=7d

• a₃=a+2d=9d
• a₆=a+5d=12d
• a₁₀=a+9d=16d

• a₆/a₁₀=12d/16d=3/4

• a₆/a₁₀=3/4

Ratio of 6th to 10th term is 3:4