If you notice the terms, they're
7, -21, 63, -189 and so forth.
7*-3 = -21 and -21 * -3 is 63 and so forth, meaning the "common ratio" is -3.
now, for a common ratio say "r", which is a fraction, namely less than ±1 and more than 0, or |r| < 1 , you do have a convergent sequence.
however this one notice, |-3| is 3, and that's greater than 1 clearly, therefore is divergent, meaning the summation has no finite value.
Answer:
19/30
Step-by-step explanation:
1/5 + 2/15 + 3/10
We need the LCD of 5, 15, and 10.
LCD = 30
1/5 + 2/15 + 3/10 =
= 6/30 + 4/30 + 9/30
= 19/30
Answer: 19/30
Answer:
48,650
Step-by-step explanation:
3,475 times 14 bc thats how many days are in 2 weeks(obviously)
see the attached figure to better understand the problem
we have that

Step 1
<u>Find the value of AC</u>
we know that
in the right triangle ABC

substitute the values in the formula

Step 2
<u>Find the value of BC</u>
we know that
in the right triangle ABC
Applying the Pythagorean Theorem

substitute the values

Step 3
<u>Find the value of BD</u>
we know that
in the right triangle BCD
Applying the Pythagorean Theorem

substitute the values


therefore
<u>the answer is</u>
the length of BD is 11.93 units