Find the fifth term of the arithmetic sequence in which t1 = 3 and tn = tn-1 + 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 = 2tn-1. a) 5 b) 6 c) 48 d) 96

We know that

Part a) 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) 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 tenth term (t10)
t10=t1+(10-1)*(-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 = 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