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

By Ella

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.​

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  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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