The first term of an arithmetic sequence is -3 and the fifteenth term is 53 what is the common difference of the sequence

Solution

The 1st term = -3

15th term = 53

15th term = a + d(n-1)

53 = -3 + d(15- 1)                       [Here n = 15)

53 + 3 = d(14)

14d = 56

d = 4

The common difference is 4.

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,

mean, 40.6

step-by-step explanation: