Answer:
a
n
=
−
2
n
+
15
Step-by-step explanation:
This is an arithmetic sequence since there is a common difference between each term. In this case, adding
−
2
to the previous term in the sequence gives the next term. In other words,
a
n
=
a
1
+
d
(
n
−
1
)
.
Arithmetic Sequence:
d
=
−
2
This is the formula of an arithmetic sequence.
a
n
=
a
1
+
d
(
n
−
1
)
Substitute in the values of
a
1
=
13
and
d
=
−
2
.
a
n
=
13
+
(
−
2
)
(
n
−
1
)
Simplify each term.
Tap for more steps...
a
n
=
13
−
2
n
+
2
Add
13
and
2
.
a
n
=
−
2
n
+
15
Answer:
x = 72
Step-by-step explanation:
Make the problem simpler by eliminating the fractional coefficients:
x-9= 1/4x + (1/4x + 12) + (1/4x - 3), when multiplied by 4, becomes:
4x - 36 = x + x + 48 + x - 12
Summing up all the x terms, we get:
4x - 2x - x = 48 - 12 + 36
Then x = 72
Answer:
17
Step-by-step explanation:
429-4=425
425÷25=17
Answer:
i) 3*m*n + 7
Then we can write the first term as:
"3 times the product between two numbers"
Where the product of two numbers is m*n
And after that we need to add 7, then the complete sentence is:
"3 times the product between two numbers, increased by 7"
ii) x*y + (x + y)
The first part, x*y, can be written as:
"the product of two numbers"
where the two numbers are the number x and the number y.
After that, we add the sum of these two numbers, then the complete sentence can be:
"the product of two numbers, plus the sum of these two numbers"
Answer:
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