Answer: C
Step-by-step explanation: Hope it helped :)
Answer:
squares in Step n. f (n) = 8 + 3(n – 1} for n > 1 /(1) = 8, /{n2) = 3+f (n – 1) for n > 2 01)= 8, 7 (n) = 8= ƒ(n=1) forn> 2 Df1)= 3 -8 (n- 1) forn > 1 Of (n) - 37 + 5 for n > 1 32+5 for n>1 CS (n) 3+ an forn 1
Step-by-step explanation:
The series converges, and its sum is 1/2.
If r > 1, the series is divergent. If r < 1, the series is convergent. In our sequence, r, the common ratio we multiply by to get the next term, is 7/9; therefore it is convergent.
To find the sum of a convergent series, we use the formula
a/(1-r), where a is the first term and r is the common ratio. We then have
1/9÷(1-7/9) = 1/9÷2/9 = 1/9×9/2 = 1/2
First, convert the mixed number into an improper fraction.
To convert a mixed number into an improper fraction, find the product of the whole number and the denominator and then add the numerator.
Then the denominator will be the original denominator from the mixed number.

=

Now the fraction

is being raised to the third power negative.
When an exponent is negative, it means to take the reciprocal of the number then raise it to the power of the absolute value of the exponent.
In a mathematical expression:

So, first take the reciprocal of

which is 3.
Then raise 3 to the absolute value of the exponent. The exponent is -3.
The absolute value of -3 is 3.
3^3 = 3 * 3 * 3 = 27
So, the answer is 27.
Answer:

Step-by-step explanation:
Let’s find the common difference.
The common difference can be found by subtracting a term in the sequence with the previous term.

Apply formula for the
term of an arithmetic sequence.

is the first term of the sequence.
is the common difference.


