The Comegna family wants to build a human pyramid when they go to the beach this summer. They will put one person on top and add 2 more people for each descending row.
a. How many people will be in the seventh row?
PLEASE HELP!! the rest are in the attachment
Part 1: a. Number of people in the seventh row will be as follows:
d=2 a1=1 n=7 thus the number of people in the 7th row will be obtained using the explicit formula: an=a1+(n-1)d a7=1+(7-1)2 a1=1+12 a1=13
b. Total number of people in 7 rows will be calculated using the formula: sn=n/2(a1+an) plugging in the values:
s7=7/2(1+13) s7=7/2(14) s7=49
c. Total number of people required to make 10 rows will be: n=10 a1=1
a10=1+(10-1)2 a10=1+18 a10=19 thus s10=10/2(1+19) s10=100 It will take 100 children
d. To get the number of rows the Simpsons Pyramid had we shall use the explicit formula: an=a+(n-1)d d=4 a1=1 an=37 plugging in the values we get: 37=1+(n-1)4 solving for n: 36=4n-4 40=4n n=10 thus the number of rows would be 10
e. Total number of people will be: d=4 n=10 a1=1 Sn=n/2(a1+an) Sn=10/2(1+37) Sn=190
PART 2: Geometric sequence and series The video does not function.
