The sequence below shows the total number of days Francisco

The sequence below shows the total number of days Francisco had used his gym membership at the end of weeks 1, 2, 3, and 4. 4, 9, 14, 19, ... Assuming the pattern continued, which function could be used to find the total number id days Francisco had used his gym membership at the end of week n? f(n) = n + 5 f(n) = 5n - 1 f(n) = 5n + 4 f(n) = n^2 The volume of a sphere is 2,400 cubic centimeters. What is the approximately diameters of this sphere? (Volume of a sphere = 4/3 pi r^3) 16.6 cm 10.1 cm 8.3 cm 4.2 cm

Solution

45) f(n) = 4 , 9, 14, 19

common difference between terms = 5

Its and A.P.series

nthe term formula for A.P.= a1 +(n-1)d

=4 +(n-1)5

= 5n -1

Option B

46) Vol = 24000 cm^3

(4/3)pi*r^3 = 2400

pir^3 = 1800

r = (1800/pi)^1/3

= 8.30 cm

Option C