The 5th term of linear sequence is 17

the sixth term of linear sequence is 21

work out the 100th term sequence

397

Step-by-step explanation:

lets say there's an eqn which is y = mx + c, x is the term no. (5, 6 in the egs provided), y is the value corresponding to x (17, 21)

to find the 100th term sequence we need to find m and c. m is how much y changes when x increases by 1

in this case we can find m easily (m = 21-17 = 4)

now we have c left so just sub one of the egs given to what we have alrd found

17 = 4(5) + c

17 = 20 + c

c = - 3

so the eqn is y = 4x - 3, and we can solve for when x = 100

y = 4(100) - 3

y = 397

hope this isn't too confusing :^)

-3 - i

Step-by-step explanation:

The midpoint in the complex plane is found by averaging the real numbers for the real part of the midpoint and averaging the imaginary parts of the given complex numbers. Put a plus sign between the 2 parts.

Reals

(-12 + 6)/2

-6/2

- 3

complex

3i - 5i

- 2i

-2i/2 = - i

Answer

-3 - i