Determine the 25th term in the sequence defined by a= 8 + 2(n - 1)

The 25 th term in the sequence

a₂₅  = 56

Step-by-step explanation:

Explanation

Given that the term of sequence

aₙ = 8 + 2 ( n-1)

put n =1

a₁  = 8 + 2( 1-1) = 8+0 =8

first term a₁ = 8

put n=2

a₂  = 8 + 2( 2-1) = 8+2 =10

Second term

a₂ = 10

and so on

put n =25

a₂₅  = 8 + 2( 25-1) = 8+2(24) = 8 + 48 = 56

Given sequence

8 , 10 ,.......56,....

complete the steps to find the area of the trapezoid.

area of rectangle = 256   square units

area of triangle 1 = 24  square units

area of triangle 2 = 16  square units

area of triangle 3 =   96 square units

area of trapezoid = 120  square units

step-by-step explanation: