Find an expression for the nth term (tn) in each of the following sequence:
12, 11, 10, 9, 8, …

Can someone please help me???

Step-by-step explanation:

This is an arithmetic sequence. We know this because every term is simply one less than the term before it.

The explicit formula for an arithmetic sequence is aₙ = a₁ + (n-1)d, where a₁ is the first term and d is the common difference between consecutive terms. In this case, a₁ = 12 and d = -1.

Therefore, we have aₙ = 12 + (n - 1) · (-1) = 12 - n + 1 = -n + 13. aₙ = -n + 13.

Hope this helps!

so a parallelogram is just like a square base times height. multiply 40 and 39 to get 1560 inches.

a triangle is base times height divided by two. so multiply 7.9 and 5 and then divide it by 2 to get 19.75inches.

the kite can be split into two separate triangles and added together to get the total area. 30 x 4 /2 which equals 60. make sure to double it for the two triangles making 120.

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15