What is the common difference in the following arithmetic sequence? n an 1 –12 2 –1 3 10 4 21 –11 –1 1 11

Option (d) is correct.

The common difference in  the following arithmetic sequence is 11.

Step-by-step explanation:

 Given sequence,

  n            

  1              -12

  2              -1

  3              10

  4              21

We have to find the common difference of the given arithmetic  sequence,

Common difference of an arithmetic sequence can be find by subtracting the term from the term preceding it.

Finding difference between the terms,

Thus, the common difference in  the following arithmetic sequence is 11.

Hence, option (d) is correct.

11 is the answer.

Step-by-step explanation:

We have given a arithmetic sequence.

12,-1,10,21

We have given 4 terms of arithmetic sequence.

a₁=-12 , a₂ = -1 , a₃ = 10 and a₄ = 21

We have to find common difference in the sequence.

Common difference is defined as the difference between consecutive terms.

d = a₂-a₁

Putting values in above formula, we have

d = -1-(-12)

d = -1+12

d = 11

Hence, common difference in the given sequence is 11.

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,

f(x)=2/3x-8, which give g(x) the greatest value.

step-by-step explanation: