Turn them into improper fractions and then flip 27/8 to its reciprocal (8/27) and then multiply.
Given:
and
where
.
To find:
The explicit formula for the given recursive formula.
Solution:
We know that recursive formula of an AP is:

Where, d is the common difference.
We have,

Here, d=9.
The first term of the AP is
.
The explicit formula for an AP is:

Substituting
and
, we get



Therefore, the required explicit formula for the given sequence is
.
Answer:
Step-by-step explanation:
Since side BC = side AD (because opposite side of a parallelogram are congruent)
Angle C = angle A(because opposite angles of a parallelogram are congruent)
side DC = side AB(because the opposite sides of a parallelogram are congruent. Therefore,
Triangle ABD is congruent to triangle CDB by the postulate of SAS which means side angle side.
Alright, so plugging it in, we get 2(-4)^2=2(2)^4+3^2-(-4)^2+2^4. Use PEMDAS with parenthesis and exponents to then get (2)(16)+9-16+16. Multiplying 1 and 16, we get 32+41-16+16=73
Answer:
16
Step-by-step explanation: