$a_1=6\\a_2=a_1+1\to a_2=6+1=7\\a_3=a_2+1\to a_3=7+1=8\\a_4=a_3+1\to a_4=8+1=9\\\vdots\\\\\text{The recursive formula}\\a_n=\left\{\begin{array}{ccc}a_1=6\\a_n=a_{n-1}+1\end{array}\right\\\\\text{It's an arithmetic sequence with}\ a_1=6\ \text{and difference}\ d=1\\\\\text{The explicit formula of an arithmetic sequence:}\\\\a_n=a_1+(n-1)d\\\\\text{Substitute:}\\\\a_n=6+(n-1)(1)\\a_n=6+n-1\\a_n=5+n\\\\a_n=n+5$

5 0

2 years ago

Which inequality comparing two of the expressions below is true when 0.5

Aleonysh [2.5K]

Answer:

Option C

Step-by-step explanation:

Given 0.5≤ x ≤ 0.7

According to the range of x, we will check which option is true

Let x = 0.6

A. $\frac{x}{3} > \sqrt{x}$

If x = 0.6

∴0.6/3 > √0.6 ⇒ 0.2 > 0.77 ⇒ Wrong inequality

B. x³ > 1/x

If x = 0.6

∴ 0.6³ > 1/0.6 ⇒ 0.216 > 1.667 ⇒ Wrong inequality

C. √x > x³

If x = 0.6

∴ √0.6 > 0.6³ ⇒ 0.77 > 0.216 ⇒ True inequality

D. (x/3) > (1/x)

If x = 0.6

∴ 0.6/3 > 1/0.6 ⇒ 0.2 > 1.667 ⇒ Wrong inequality

So, The true inequality is option C

8 0

2 years ago

I’ll give you brainiest who ever answer this right

erma4kov [3.2K]

Answer:

y=x+1

Step-by-step explanation:

at each x you move up by 1

5 0

2 years ago

the ratio of the number of adults to the number of children in a library is 12:5 if there are 45 children in the library how my

anygoal [31]

I’m guessing 108. 45 divided by 5 is 9, so 9 times 12 is 108.

5 0

2 years ago

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