2 years ago

If a1 = 6 and an = 3 + 2(an-1), then a2 equals no links

Mathematics

1 answer:

Salsk061 [2.6K]2 years ago

6 0

Answer:

Step-by-step explanation:

Given that a1 = 6

an = 3 + 2(an-1),

Substitute n = 2 into the formula

a2 = 3 + 2(a1)

a2 = 3 + 2(6)

a2 = 3+12

a2 = 15

Hence the second term of the sequence is 15

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2 years ago

The size of angle aob is equal to 132 degrees and the size of angle cod is equal to 141 degrees. find the size of angle dob.

Varvara68 [4.7K]

angle AOB = 132 and is also the sum of angles AOD and DOB. Hence
angle AOD + angle DOB = 132°    ---> 1

angle COD = 141 and is also the sum of angles COB and BOD. Hence
angle COB + angle DOB = 141°    ---> 2

Now we add the left sides together and the right sides of equations 1 and 2 together to form a new equation.

angle AOD + angle DOB + angle COB + angle DOB = 132 + 141       ---> 3

We should also note that:
angle AOD + angle DOB + angle COB = 180°

Therefore substituting angle AOD + angle DOB + angle COB in equation 3 by 180 and solving for angle DOB:
180 + angle DOB = 132 + 141
angle DOB = 273 - 180 = 93°