Find the 17th term in the sequence for which a1 = 10 and d = -3.
a. -42
c. 24
b. 34
d. -38

  (d) -38  is the correct option.

Step-by-step explanation:   We are given to find the 17th term of a sequence with first term a(1) = 10  and  common difference, d = -3.

Since common difference exists between any two consecutive terms of the sequence, so the given sequence is ARITHMETIC.

We know that

the n-th term of an arithmetic sequence with first term a(1) and common difference d is given by

Therefore, the 17-th term of the given arithmetic sequence will be

Thus, the 17-th term of the given sequence is -38.

Option (d) is CORRECT.

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.