The second term of an arithmetic sequence is 13 and the fourth term is 7.

Mathematics

1 answer:

Tomtit [17]3 years ago

5 0

Answer:

Step-by-step explanation:

$d=a_4-a_3=a_3-a_2\\\\a_3-a_2=a_4-a_3\\\\2a_3=a_2+a_4\\\\2a_3=13+7\\\\2a_3=20\\\\a_3=10\\\\d=10-13=-3\\\\\\a_2=a_1+d\quad\implies\quad a_1=a_2-d=13-(-3)=16\\\\a_n=a_1+d(n-1)\\\\a_{13}=16+(-3)(13-1)=16+36=52$

You might be interested in

Perform the following division. Be sure answers are reduced to lowest terms. 2 7/8 ÷ 1/4 =

sergejj [24]

The answer is: [D]: 11 1/2 .
___________________________________________________________
Explanation:
___________________________________________________________
2 7/8 <span>÷ 1/4 =

23/8 </span>÷ 1/4 = 23/8 * 4/1 ; The "4" cancels to a "1"; and the "8"
cancels to a "2"; (since "8÷4 =2" ;
and "4÷4 = 1" ;
__________________________________________________________
→ 23/8 * 4/1 = 23/2 * 1/1 = 23/2 * 1 = 23/2 = 11 1/2 ;
__________________________________________________________
→ which is: Answer choice: [D].
__________________________________________________________

4 0

3 years ago

A student said that since -9 is less than 4, then |-9| is less than |4|. Is the student correct? Explain why or why not.

IRISSAK [1]

No, that is not true. The absolute value is the distance a number is from zero. The distance of -9 to 0 is 9. 9 is not less than 4.

4 0

3 years ago

Read 2 more answers

What is the volume of a rectangular prism with the dimensions: base 2 3 /8 cm, height 1 1/3 cm, and length 3 3 /4 cm?

Ugo [173]

Answer: 11.84 cm³

Step-by-step explanation:

1. Let's rewrite the given dimensions (expressed as mixed numbers) as decimals. Divide the numerator by the denominator of the fractional part and add the result to whole number part. Then:

$2^\frac{3}{8}cm=(2+0.375)cm=2.375cm\\1^\frac{1}{3}=(1+0.333)cm=1.333cm\\3^\frac{3}{4}=(3+0.75)cm=3.75cm$