In the algebraic sequence 2x+1,4x-5'----.

Question

Arthematic sequence of algebraic expression

 

 

Answer 1

The common difference is:

     d = a_n+1 - a_n

     d = (4x-5) - (2x+1) = 2x-6

 

The explicit form for the sequence is:

     a_n = a₁ + (n-1)d

     a_n = (2x-1) + (n-1)(2x-6) =

 

First Five terms:

     a₁ = 2x+1

     a₂ = 4x-5

     a₃ = 2x+1 + (3-1)(2x+6) = ____?

     a₄ = 2x+1 + (4-1)(2x+6) = ____?

     a₅ = 2x+1 + (5-1)(2x+6) = ____?

 

Sum of first n terms:

     S₁₀ = (a₁ + a₁₀)/2

          a₁ = 2x+1
          a₁₀ = use explicit form formula above