a_1=1/4, a_11=17 & 3/4, a_52=?
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ffgggyl393949959595585858685858686
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Given: a₁ = 1/4 a₁₁ = 17 3/4
To Find : a₅₂
Solution:
nth term of AP is
aₙ = a₁ + (n - 1)d
a₁ = First term
d = common difference
a₁₁ = a₁ + (11 - 1)d
=> 17 3/4 = 1/4 + 10d
=> 71/4 = 1/4 + 10d
=> 70/4 = 10d
=> 7/4 = d
a₅₂ = a₁ + (52 - 1)d
=> a₅₂ = a₁ + (51)d
=> a₅₂ = 1/4 + 51(7/4)
=> a₅₂ = 358/4
=> a₅₂ = 89 1/2 or 89.5
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