Question

$\mathbb{ \ \ Q\ U\ E\ S\ T\ I\ O\ N\: \: }$
Seats in a theater are curved from the front row to the back. The front row has 10 chairs, the second has 16 and the third has 22, and so on.
a) Write a recursive rule for this series:

b) Write an explicit rule for this series:

c) Using the explicit formula, find the number of chairs in row 5 (show work)

d) The auditorium can hold 17 rows of chairs. Write a sigma notation for this series, and then use either series formula to calculate how many chairs can fit in the auditorium.​

Answer 1

10 , 16 , 22 , 28 , ...

Ap first term a1 = 10 , common difference d = 6

a) a1 = 10

an = an - 1 + 6

b) an = a1 + 6(n - 1) = an = 10 + 6n - 6 = an = 6n + 4

c) n = 5 , a5 = 6 × 5 + 4 = 34

d) s17 = ?

sn = n(a1 + an)/2 = n(2a1 + (n - d)/2

so , s17 = 17(2×10 + 16×6)/2 = 17(20 + 96)/2

= 17( 116)/2 = 1972/2 = 986

Answer 2

OH NICE NAME

SUMEDH JI

HRU?

AND LAGTA H AAP MINNIE KI FRIEND HO

AND NOW YOU ARE DOING IN LEADERBOARD COMPETITION OF QUARTERLY.