Question

This sequence represents the diameters of circles used to create an art project:
2.5 cm, 3.1 cm, 3.7 cm, 4.3 cm
Let f(n) represent diameter in centimeters and n the term number in the sequence. Which equation represents the sequence of diameters?
f(n) = 0.6n + 1.9
f(n) = 0.6n + 2.5
f(n + 1) = f(n) + 1.9
f(n + 1) = f(n) – 0.6

Answer 1

Answer:

0.6n + 1.9

Step-by-step explanation:

The given sequence is an A.P

First term [generally denoted by a] = 2.5

And common Difference d = 0.6

nth term of this A.P is given by:

F(n) = a + (n-1)d

=> F(n) = 2.5 + (n-1) 0.6

= 2.5 - 0.6 + 0.6n

= 0.6n + 1.9