Answer:
Option 4
Step-by-step explanation:
Term = n/(4^n)
(n+1)th term = (n+1)/[4^(n+1)]
Ratio: (n+1)/[4^(n+1)] ÷ n/(4^n)
= (n+1)/[4^(n+1)] × (4^n)/n
= [(n+1)/n] × (1/4)
For large n, (n+1)/n approaches 1
[(n+1)/n] × (1/4) approaches 1/4 which is less than 1
Since the ratio is less than 1, series converges
Answer:
B. -t+8
Step-by-step explanation:
add t to -2t and add 3 and 5
2 x 6.25
is equal to 12.5 in multiplication
Answer: 
Step-by-step explanation:
Given
from the figure
![\angle HIE=\angle GIF\quad [\text{vertically opposite angles}]\\\angle HID+\angle DIE=\angle GIF\\15^{\circ}+(18x)^{\circ}-2^{\circ}=103^{\circ}\\(18x)^{\circ}=103^{\circ}-13^{\circ}\\\\x=\dfrac{90^{\circ}}{18}\\\\x=5^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20HIE%3D%5Cangle%20GIF%5Cquad%20%5B%5Ctext%7Bvertically%20opposite%20angles%7D%5D%5C%5C%5Cangle%20HID%2B%5Cangle%20DIE%3D%5Cangle%20GIF%5C%5C15%5E%7B%5Ccirc%7D%2B%2818x%29%5E%7B%5Ccirc%7D-2%5E%7B%5Ccirc%7D%3D103%5E%7B%5Ccirc%7D%5C%5C%2818x%29%5E%7B%5Ccirc%7D%3D103%5E%7B%5Ccirc%7D-13%5E%7B%5Ccirc%7D%5C%5C%5C%5Cx%3D%5Cdfrac%7B90%5E%7B%5Ccirc%7D%7D%7B18%7D%5C%5C%5C%5Cx%3D5%5E%7B%5Ccirc%7D)
