Since, the speed of the bike increases by 4 km/hr after every 1 hour, therefore the bike will travel 4 km extra after every 1 hour. Therefore, distance travelled by the bike in 1st hour = 16 km Distance travelled by the bike in 2nd hour = 16 + 4 = 20 km Distance travelled by the bike in 3rd hour = 20 + 4 = 24 km This form an AP i.e. 16, 20, 24………distance travelled in 18th hour Therefore, total distance travelled by the bike in 18 hours = sum of the AP Distance travelled in 18 hours = (n/2){2a + (n – 1)d} Where n = number of terms = 18, a = 1st term = 16 and d = common difference = 4 Therefore, distance travelled in 18 hours = (18/2){2 × 16 + (18 – 1) × 4} = (18/2)(32 + 68) = 900 km
23 48 98 198 ? 798
...The question below is based on the given series I. The series I satisfy a certain pattern, follow the same pattern in series II and answer the question...
49 121 169 289 361 ?
...130 114 106 102 100 ?
3 15 35 63 99 ?
9 10 6 15 -1 ?
...35 70 105 140 175 ?
299, 302, 308, 317, ?, 344
14 15 32 99 400 ?
...56. 23 45 89 177 363 705
...