What is the general term equation, an, for the arithmetic sequence 5, 1, −3, −7, . . , and what is the 21st term of this sequence?

hint: an = a1 + d(n − 1), where a1 is the first term and d is the common difference.

an = 17 − 4n, a21 = −67
an = 17 + 4n, a21 = 101
an = 13 − 4n, a21 = −71
an = 9 − 4n, a21 = −75

() at a farm, animals are fed bales of hay and buckets of gain. each bale of hay is in the shape of a rectangular prism. the base side lengths 2 feet and 3 feet, and the height is 5 feet. each bucket of grain is a cylinder with diameter of 3 feet. the height of the bucket is 5 feet as the height of bale. a. which is larger in area, the rectangular base of the bale or the circular base of the bucket? explain how you know b. which is larger in volume, the bale or the bucket? explain how you know

A. use the formula for continuous compounding with the original example: $1000 invested at 2% for 1 year. record the amount to 5 decimal places. use a calculator. b. compare it to the result using the original compound interest formula with n = 365 calculated to 5 decimal places. which has a larger value? explain.

Use complete sentences to differentiate between a regular tessellation, and a pure tessellation. be sure to include specific types of polygons in your explanation.