What is the smaller angle formed by the minute and hour hands at 3:30pm?

75 degrees

Step-by-step explanation:

360/60=6 degrees per minute on a clock face

minute hand, from 12 o'clock position is 30 minutes so 30x6=180 degrees

hour hand, from 12 o'clock position is 17.5 minutes so 17.5x6=105 degrees

180-105=75 degrees

75 degrees.

Step-by-step explanation:

The angles between 2 consecutive  numbers on the clock are 360 /12 = 30 degrees.

The hour hand is half way between the 3 and 4 so this = 15 degrees,

So the required angle = 2*30 + 15

= 75 degrees.

you already gave the answer

step-by-step explanation:

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step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

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etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for