16n2 – 10n – 5 = 6n
Solve the equation for all real solutions

n=5/4 or n=-1/4

Step-by-step explanation:

16n^2 - 10n-5=6n

16n^2-16n-5=0

(4n)^2-2.4n.2+2^2 = 2^2 + 5

(4n- 2)^2=9

4n-2 = 3 or 4n-2=-3

4n=5 or 4n=-1

n=5/4 or n = - 1/4

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

b

2

−

b

b

3

+

7

b

2

+

14

b

+

6

%

−

3

b

3

+

7

b

2

+

14

b

+

6

%

step-by-step explanation: