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 D
Step-by-step explanation:
i found it in quizzes and Quizlet
Answer:
if a polygon is square,then it is also a rectangle is correct
Step-by-step explanation:
1)if a polygon has 4 right angles,then it is a square is wrong since in the statement a square has all its angles as right angles but it need not imply that it is a square as it could also be a rectangle
2) polygon need not have four right angles eg:rhombous with angles 60°,60°,120°,120° is also a polygon
3)every polygon need not be a rectangle as it could be square
4)if a polygon is square, then all its angles are right angles and if all its angles are right then it is rectangle.
hence option 4 is true.
Answer:
.....................
10)=(-3)^2.x^4×2.y^2(5.x^2y^6)-7^2x^5×2y^4×2
=(9×5)x^8+2y^2+6-49x^10y^8
=45x^8+2y^2+6-49x^10y^8
=45x^10y^8-49x^10y^8
=-4x^10y^8
Answer:
x = 2 (For First question)
Step-by-step explanation:
8^ 1/6 * 2^x = 32^1/2
8^1/6 * 2^x 8^1/6 = 32^1/2/8^1/6
2^x = 32^1/2 / 8^1/6
2^x = 4
2^x = 2^2
x =2
Question 2:
Answer: 50
Step-by-step explanation:
8^1/3/5^-2
= 2/5^-2
= 2/1/5^2
= 2* 5^2/1
= 2 * 5^2
= 2 * 25
= 50
