Identify the next term in the sequence 171, 141, 151, 121, 131

161

Step-by-step explanation:

Given,

171, 141, 151, 121, 131

Look at very carefully.

the first number is 171. Then the next number is 141. The difference between the two numbers is (171 - 141) = 30.

Then the next number is 151. Therefore, the difference is = (151 - 141) = 10

Again, the difference between 3rd and 4th number is = (151 - 121) = 30

Finally, the difference between 4th and 5th is = (131 - 121) = 10

Therefore, the sequence of the difference is = 30, -10, 30, -10.

Through this way, the next difference should be 30.

So, the next number in the sequence is = 131 + 30 = 161.

side xy = 10

sin(x) = 4/5

cos(x) = 3/5

tan(x) = 4/3

step-by-step explanation:

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47