We know that
Part a) <span>Find the fifth term of the arithmetic sequence in which t1 = 3 and tn = tn-1 + 4
t1=3
t2=t1+4----> 3+4-----> 7
t3=t2+4-----> 7+4----> 11
t4=t3+4-----> 11+4---> 15
t5=t4+4-----> 15+4---> 19
the answer Part a) is 19
Part b) </span><span>Find the tenth term of the arithmetic sequence in which t1 = 2 and t4 = -10
we know that
tn=t1+(n-1)*d-----> d=[tn-t1]/(n-1)
t1=2
t4=-10
n=4
find the value of d
d=[-10-2]/(4-1)-----> d=-12/3----> d=-4
find the </span>tenth term (t10)
t10=t1+(10-1)*(-4)----> t10=2+9*(-4)----> t10=-34
the answer Part b) is -34
Part c) <span>Find the fifth term of the geometric sequence in which t1 = 3 and tn = 2tn-1
t1=3
t2=2*t1----> 2*3----> 6
t3=2*t2----> 2*6----> 12
t4=2*t3-----> 2*12---> 24
t2=2*t4----> 2*24----> 48
the answer Part c) is 48</span>
Answer:
the answer is 45/8 very direct
The sequence: 9, 4, 3
The largest number in this sequence is 9.
This is because 9 is of greatest value, being farther from 0 than the numbers 3 and 4.
The smallest number in this sequence is 3.
This is because 3 is of least value, being closer to 0 than the numbers 4 and 9.
Knowing this, we can answer the first question- "Is the first digit the largest or the second digit the smallest?"
9 is the first digit in this sequence, and it is the largest.
4 is the second digit in this sequence, and it is not the smallest. 3 is the smallest value in the sequence, but it is not the second digit.
This means that "the first digit is the largest" is the correct answer to the first question.
Even numbers result in integers, numbers without decimals/fractions, when divided by 2.
3 is an odd number, since it does not result in an integer when divided by 2.
3 is the third number in this sequence.
9 is also an odd number for the same reason.
9 is the first number in this sequence.
Knowing this, we can answer the second question- "Is the third digit even or the first digit odd?"
3 is the third digit in the sequence, and it is odd, not even.
9 is the first digit in the sequence, and it is odd.
This means that "the first digit is odd" is the correct answer to the second question.
Answers:
1) The first digit, 9, is the largest digit in the sequence.
2) The first digit, 9, is odd.
Hope this helps!
Is there a graph that goes with this question? If there is, is it possible for you to upload it to the question? So when i answer its completely correct.
