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Finger [1]
3 years ago
9

In a certain sequence of numbers, each term after the first is found by doubling and then adding $3$ to the previous term. If th

e seventh term of the sequence is $125$, what is the first term?
Mathematics
1 answer:
Rufina [12.5K]3 years ago
5 0
We know that
an=[a(n-1)]*2+3
if a7=125 
a) Find a1

step 1
find a6
a7=a6*2+3--------> a6=(a7-3)/2-----> a6=(125-3)/2----> a6=61

step 2
find a5
a6=a5*2+3--------> a5=(a6-3)/2-----> a5=(61-3)/2----> a5=29

step 3
find a4
a5=a4*2+3--------> a4=(a5-3)/2-----> a4=(29-3)/2----> a4=13

step 4
find a3
a4=a3*2+3--------> a3=(a4-3)/2-----> a3=(13-3)/2----> a3=5

step 5
find a2
a3=a2*2+3--------> a2=(a3-3)/2-----> a2=(5-3)/2----> a2=1

step 6
find a1
a2=a1*2+3--------> a1=(a2-3)/2-----> a1=(1-3)/2----> a1=-1

the answer is
a1=-1




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<h3>What is the AAS Congruence Postulate?</h3>

When two angles of a triangle, and one of its side that is nonincluded are congruent to corresponding two angles and a nonincluded side in the another triangle, then both triangles are congruent by the AAS congruence postulate.

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<u>Statement                                     Reasons                                    </u>

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3. QS ≅ QS                                   3. Reflexive property

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5. QT ≅  SR                                   5. CPCTC

Learn more about AAS congruence postulate on:

brainly.com/question/3168048

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A translation is applied to the triangle where A(1, 4) , B(2, -2) , and C(-3, 2). The image is the triangle that has vertices ​ A′(5, 4) ​, ​ B′(6, -2) ​​, and C′(1, 2)​.

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