Question

the pegion ate, 1122 earthworm on 4 consecutives nights. Each nights he ate 25 more than on the night before. How many earthworm did the pegion eat on the first night.​

Answer 1

Answer:

243 earthworm pigeon eat on the first night.

Step-by-step explanation:

Total Earthworm that pigeon ate = 1122 in 4 nights

Each he eat 25 more earth worm than previous night.

To find number of earthworm he eat on first night.

Clearly Number of earthworm on a night are forming an AP with number of terms, n = 4 and common difference, d = 25 and Sum of 4 terms,  = 1122

Using formula of sum of n term,  

let a be the first term of AP and the number of earthworm he eat on first night.

According tot he Question,

2a = 561 - 75

⇒2a = 486

⇒a = 243

 ∴He eat 243 earthworm on first night.

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