The first term of an A. P. is unity and the common difference is 4, which of the following will be a term of this A. P. (a ) 4551 (b ) 10091 ( c ) 7881 ( d ) 13531

c

Step-by-step explanation:

first term=1

common d=4

nth term=a+(n-1)d

7881=1+(n-1)4

7881=1+4n-4

7884=4n

n=1971

Starting with n = 0, the n-th term in the sequence is

4n + 1

so any number in the sequence must have a remainder of 1 when divided by 4.

We have

4551 = 1137×4 + 3

10091 = 2522×4 + 3

7881 = 1970×4 + 1

13351 = 3382×4 + 3

triangle abc is reflected on the line x=-6.5 then reflected again on the x axis

step-by-step explanation:

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,