The Dury Lane Theater has 15 seats in the first row and 40 rows in all. Each successive row contains one addition seat. How many seats are in the theater?

Answer 1

#1380# seats

Note that the last row will have #54# seats (see bottom of this explanation if why this is true is not clear).
#color(white)("2 times ")#total number of seats: #15+16+...+53+54# #color(white)("2 times ")#total number of seats: #ul(54+53+...+16+15)# 2 times total number of seats:#" "underbrace(69+69+...+69+69)_(40" terms")# #color(white)("xxxxxxxxxxxxxxxxxxxxxxxx")=69xx40=2760#
#rarr# total number of seats #=2760/2=1380#
Why does the last row have #54# seats?
If we number the rows from 1 to 40 then row 1 has #15=14+1# seats; row 2 has #16=14+2# seats; and so on, until row 40 has #14+40=54# seats.
Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
HIX Tutor
Solve ANY homework problem with a smart AI
  • 98% accuracy study help
  • Covers math, physics, chemistry, biology, and more
  • Step-by-step, in-depth guides
  • Readily available 24/7