Answer:
2
Step-by-step explanation:
= 1455
generate a few terms of the sequence using
= 3n + 2
= ( 3 × 1) + 2 = 5
= (3 × 2) + 2 = 8
= (3 × 3 ) + 2 = 11
= (3 × 4 ) + 2 = 14
= ( 3 × 5 ) + 2 = 17
the terms are 5, 8, 11, 14, 17
these are the terms of an arithmetic sequence
sum to n terms is calculated using
=
[ 2a + (n-1)d]
where a is the first term and d the common difference
d = 8 - 5 = 11 - 8 = 14 - 11 = 3 and
= 5
=
[( 2 × 5) + (29 × 3) ]
= 15( 10 + 87) = 15 × 97 = 1455
Answer:
fifth option
Step-by-step explanation:
Given
- 2(x - 5) ≤ 6x + 18 ← distribute left side
- 2x + 10 ≤ 6x + 18 ( subtract 6x from both sides )
- 8x + 10 ≤ 18 ( subtract 10 from both sides )
- 8x ≤ 8
Divide both sides by - 8, reversing the sign as a result of dividing by a negative quantity, thus
x ≥ - 1
Answer:
-2(x)>30
An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
x<-15
Step-by-step explanation:
-2(x)>30 means to divide -2 on both sides which is -15.
x>-15
Next you switch the inequality because you multiplied by a negative:
x<-15