What is the 4th term in the sequence? C(1)=56 C(n)= c(n-1)•1/2

Mathematics

1 answer:

Anton [14]4 years ago

3 0

Answer:

The 4th term is 7

Step-by-step explanation:

we have

$C(n)=C(n-1)\frac{1}{2}$

$C(1)=56$

step 1

Find C(2)

For n=2

$C(2)=C(1)\frac{1}{2}$

$C(2)=(56)\frac{1}{2}=28$

step 2

Find C(3)

For n=3

$C(3)=C(2)\frac{1}{2}$

$C(3)=(28)\frac{1}{2}=14$

step 3

Find C(4)

For n=4

$C(4)=C(3)\frac{1}{2}$

$C(4)=(14)\frac{1}{2}=7$

therefore

The 4th term is 7

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Jade wants to buy a $200,000 term life insurance policy. She is 34 years old. Using the premium table, what is her annual premiu

AnnZ [28]

Premium rates are usually for premium per fixed face value. Jade's annual premium for a 10 year policy is given by Option b: $1,202

<h3>How to calculate the total annual premium for $x ?</h3>

If its given that the annual premium is $p per $y face value, then we can calculate the annual premium for $1 face value and then use it to calculate annual premium for $x.

Using proportions, we get:

$\rm \$y \: face \: value : \$p \: annual \: premiun\\\\\rm \$1 \: face \: value : \$\dfrac{p}{y} \: annual \: premiun\\\\\rm \$x\:face\: value : \$\dfrac{p \times x}{y} \: annual \: premiun\\$

For given case, from the tables, we see that for age 34, and 10 year life insurance for female gender , there is annual premium of 6.01 per $1000 face value.
Thus, we have p = 6.01, y = 1000

Since Jade wants to buy Life insurance for $200,000, thus, x = $200,000

Putting it in the above derived formula, we get:

$\rm \$x\:face\: value : \$\dfrac{p \times x}{y} \: annual \: premium\\\\\rm \$200000\:face\: value : \$\dfrac{6.01 \times 200000}{1000} \: annual \: premium\\ = \$1202 \: annual \: premiun$