Q1.t7=10 t13=34 find tt10.
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Explanation:
Given
We have given t₇ = 10 & t₁₃ = 34
To Find
We have to find t₁₀ = ?
SOLUTION:
We have two term given t₇ = 10 & t₁₃ = 34
➙t₇ can be written as : a+6d
➙ t₁₃ can be written as a+12d
Now, a+6d = 10
\:\:\:\:\:\:\: a+12d=34
\:\:\:\: (-)(-)\:(-)(−)(−)(−)
\:\:\:\: ___________
\:\:\:\: -6d= -24
\:\:\:\: 6d= 24
\:\:\:\: d=24÷6=4
Hence,d(common difference ) is 4
Now,put d's value into this equation
➙a+6d=10
➙a+6(4)=10
➙a+24=10
➙a=10-24=-14
a= -14
We have a = -14 & d=4
Now,we havebe to find t₁₀
➙t₁₀ can be written as a+9d
➙a+9d= -14+9(4)
➙-14+36=22
Hence,t₁₀ is 22.
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