Answer:
The explicit formula of the given AP is a(n) = 7 + 7 n
And the term a (13) = 98
Step-by-step explanation:
Here, the given sequence is : 14, 28 , 42, 56 ,....
First Term (a) = 14
Second term = 28
Now, the Common difference (d) = Second term - First Term
= 28 - 14 = 14
Now, the formula for nth term in an AP is : a(n) = a + (n-1)d
So, here, the nth term of the sequence is given as:
a(n) = 14 + (n-1) 7
= 14 + 7 n - 7 = 7 + 7 n
or, a(n) = 7 + 7 n ......... (1)
or, The explicit formula of the given AP is a(n) = 7 + 7 n
Now, for evaluating a (13) put n = 13 in (1)
⇒ a(13) = 7 + 7 (13) = 7 + 91 = 98
or, a (13) = 98
2.5y + 3x=7 (1st)
5x - 2.5y = 5 re-write -2.5y + 5x = 5 (2nd)
2.5y + 3x=7 (1st)
-2.5y + 5x = 5 (2nd)
---------------------------add
8x = 12
x = 12/8 = 1.5
2.5y + 3x=7
2.5y + 3(1.5)=7
2.5y = 7 - 4.5
2.5y = 2.5
y = 1
answer
solution (1.5 , 1)
Answer:
3x + y = -16
Step-by-step explanation:
this is because
5x-2x = 3x
6y-5y = 1y which is written as y
-5 -11 = -16
Answer:
y=5sin(16pix)+3
Step-by-step explanation:
Amp=5 means our curve is either y=5sin(bx+c)+d or y=-5sin(bx+c)+d.
y=sin(x) has period 2pi.
So y=sin(bx) has period 2pi/b.
We want 2pi/b=1/8.
Cross multiplying gives: 16pi=b
y=5sin(16pix+c)+d
d=3 since we want midline y=3.
y=5sin(16pix+c)+3
We can choose c=0 since we aren't required to have a certain phase shift.
y=5sin(16pix)+3
Answer:
6
Step-by-step explanation:
h(3)=3+3
y=6