Given the arithmetic sequence: u(1)= 124, u(2)= 117, u(3)= 110, u(4)= u(k) is the first term in the sequence that is negative find the value of k

We are given

arithmetic sequence: u(1)= 124, u(2)= 117, u(3)= 110, u(4)=103

so, first term is 124

u(1)= 124

now, we can find common difference

now, we can find kth term

now, we can plug values

and we get

u(k) must be negative

so,

now, we can solve for k

so, it's closest integer value is

..............Answer

b and c

step-by-step explanation:

the answer is:

the lateral area is equal to

to find the lateral area of the square pyramid, first we need to find the perimeter of the base, and then, find the lateral area using the following formulas:

where,

s, is the base length

slant height, is the height of a the side of the pyramid

we are given:

now, calculating the perimeter of the base, we have:

then, calculating the lateral area:

hence, we have that the lateral area is equal to

have a nice day!