Solve 4x+34 help please

9514 1404 393

  78

Step-by-step explanation:

The base (JL) is twice the length of the midline (MN), so you have ...

  4x +34 = 2(5x -16)

  4x +34 = 10x -32 . . . eliminate parentheses

  66 = 6x . . . . . . . . add 32-4x

  11 = x

Then the length of JL is ...

  4(11) +34 = 78

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for