The explicit formula for this geometric sequence 81, 27, 9, 3, … is aₙ = 81(1/3)ⁿ⁻¹. It has common ratio of 1/3 and first term of 81.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
A geometric sequence is in the form aₙ = ar⁽ⁿ⁻¹⁾, where a is the first term and r is the common ratio.
The geometric sequence 81, 27, 9, 3, … has common ratio:
r = 27/81 = 1/3
The explicit formula for this geometric sequence 81, 27, 9, 3, … is aₙ = 81(1/3)ⁿ⁻¹. It has common ratio of 1/3 and first term of 81.
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B-couches and tables and chairs
C is the answer to your question
Answer:
A and D. SSS theorem
B. ASA or AAS theorems
C. SAS theorem
E. AAS theorem
Step-by-step explanation:
SSS theorem states that if three sides of one triangle are congruent to three sides of another triangle, then these two triangles are congruent.
SAS theorem states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.
AAS theorem states that if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then these two triangles are congruent.
ASA theorem states that if two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.
Thus:
A. If each pair of corresponding sides is congruent, then two triangles are congruent by SSS theorem.
B. If two pairs of corresponding angles are congruent and a pair of corresponding sides are congruent, then two triangles are congruent by ASA or AAS theorems.
C. If two pairs of corresponding sides and the angles included between them are congruent, then two triangles are congruent by SAS theorem.
D. If three sides of one triangle are congruent to three sides of a second triangle, then two triangles are congruent by SSS theorem.
E. If two angles and a non-included sides of each triangle are congruent, then two triangles are congruent by AAS theorem.
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