6. Check whether - 150 is a term of the AP: 11, 8,5,2...

1 answer:

8 0

To check -150 is present in the sequence
-150=a+(n-1)d
According to the given series
a=11,d=-3
So we need to find n
If n is a fraction then it does not belongs to that series
From formula=-150=11+(n-1)-3
-150=11-3n+3
-150=14-3n
-150-14=-3n
-164=-3n
n=164/3
We got n as a fraction so -150 does not belong to series

You might be interested in

What is the ratio 16 to 40 written as a fraction in lowest terms? plz help 50 points

Luda [366]

Answer:- $\frac{2}{5}$

Step-by-step explanation:

The given ration is 16 :40

In fraction, the above ratio can be written as : $\frac{16}{40}$

To write the above fraction in lowest terms, we need to divide the numerator and the denominator by the greatest common divisor.

Since, $16=2\times8\\40=5\times8$ , Hence, 8 is the greatest common divisor of 16 and 40.

Now, divide the numerator and denominator by 8, we get

$\frac{16}{40}=\frac{2}{5}$

3 0

3 years ago

Evaluate 7+2 times 4

wel

Are there any parentheses in this equation? that would determine what you do first.

if it is (7+2)•4 your answer is 36.
if it is 7+2•4, then your answer would become 7+8, which is 15.

3 0

2 years ago

Read 2 more answers

Find how many solutions there are to the given equation that satisfy the given condition.

den301095 [7]

Answer:

17550 solutions

Step-by-step explanation:

Given that:

y1 +y2+y3+y4=27

where;

(yi ≥ 0 and yi $\epsilon$ $\mathbb {Z}$ )

The no. of a nonnegative integer determines the number of ways to choose 27 objects from (4) distinct objects with repetition regardless of the order.

i.e

$\bigg(^{27}_{4} \bigg)$