Summation of 3n + 2 from n = 1 to n = 14 = (3(1) + 2) + (3(2) + 2) + (3(3) + 2) + . . . + (3(14) + 2) = 5 + 8 + 11 + ... + 44 ia an arithmetic progression with first term (a) = 5, common difference (d) = 3 and last term (l) = 44 and n = 14
Sn = n/2(a + l) = 14/2(5 + 44) = 7(49) = 343
Therefore, the required summation is 343.
Answer:
The answer is = 112
Step-by-step explanation:
3x4 = 12
12 - 2 = 10
10 x 9 = 90 .,. when there is a ) next to a number you multiply
90 + 22 = 112
<span>4.13 (continues) is the answer</span>
Answer:
Consistent and dependent
Step-by-step explanation:
Given


Required
The words that describe the equations
Make y the subject in (2)

Collect like terms

Divide through by 2

Substitute:
in (1)



Collect like terms


Solve for x

Simplify

Substitute
in 



So, we have:
and 
<em>The system is consistent because it has at least 1 solution</em>
<em>The system is dependent because it has more than 1 solution</em>