The first four terms of a sequence are shown on the graph below. what can be concluded about the sequence? the common ratio of the sequence is 2. the common difference of the sequence is 2. the next term of the sequence is represented by the point (5, 64). the next term of the sequence is represented by the point (5, –64).

1 ,7,13,19 is the answer

i think it might be a but you might want a second opinion

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places