Math, asked by JamesPraveen6080, 1 month ago

Show that the sequence defined by an =5n-7 is an AP, find it's common difference

Answers

Answered by Anonymous
0

Answer:

5

Step-by-step explanation:

an=5n-7

a(1)=5(1)-7 => -2

a(2)=5(2)-7 =>3

a(3)=5(3)-7=>8

AP series=> -2, 3, 8,...

common difference= a2-a1

=> 3-(-2)

=>3+2

=>5

Answered by mahanteshgejji
0

Step-by-step explanation:

an = 5n -7

a₁ = 5 - 7 = -2

a₂ = 10 -7 = 3

a₃ = 15-7 = 8

a₂ - a₁ = 3 - (-2) = 5

a₃ - a₂ = 8 - 3 = 5

a₃ - a₂ = a₂ - a₁ = . . . . . . =5

∴ common difference d = 5

∴ The given sequence is in AP with common difference d= 5

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