Find the fifth term of the arithmetic sequence in which t1 = 3 and tn = tn1 + 4. A) 5 B) 7 C) 19 D) 23 2) Find the tenth term of the arithmet
Mathematics
bobbyknight4430
Question
Find the fifth term of the arithmetic sequence in which t1 = 3 and tn = tn1 + 4. A) 5 B) 7 C) 19 D) 23 2) Find the tenth term of the arithmetic sequence in which t1 = 2 and t4 = 10. A) 10 B) 34 C) 38 D) 106 3) Find the fifth term of the geometric sequence in which t1 = 3 and tn = 2tn1. A) 5 B) 6 C) 48 D) 96
1 Answer

1. User Answers calculista
we know that
Part a) Find the fifth term of the arithmetic sequence in which t1 = 3 and tn = tn1 + 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) Find the tenth term of the arithmetic sequence in which t1 = 2 and t4 = 10
we know that
tn=t1+(n1)*d> d=[tnt1]/(n1)
t1=2
t4=10
n=4
find the value of d
d=[102]/(41)> d=12/3> d=4
find the tenth term (t10)
t10=t1+(101)*(4)> t10=2+9*(4)> t10=34
the answer Part b) is 34
Part c) Find the fifth term of the geometric sequence in which t1 = 3 and tn = 2tn1
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