Question

Find the next three term of the sequence 1 3/4,2,2 1/4

Answer 1

Answer:

2 $\frac{1}{2}$ , 2 $\frac{3}{4}$ , 3

Step-by-step explanation:

there is a common difference between consecutive terms , that is

2 - 1 $\frac{3}{4}$ = 2 $\frac{1}{4}$ - 2 = $\frac{1}{4}$

to find the next term in the sequence add $\frac{1}{4}$ to the previous term

a₄ = 2 $\frac{1}{4}$ + $\frac{1}{4}$ = 2 $\frac{1}{2}$

a₅ = 2 $\frac{1}{2}$ + $\frac{1}{4}$ = 2 $\frac{3}{4}$

a₆ = 2 $\frac{3}{4}$ + $\frac{1}{4}$ = 3