Question

how many. consecutive natural numbers from 1 should added to get 465​

Answer 1

Answer:

HERE A¹ = 1, A ² = 2 , À³ = 3

IT IS CLEAR FROM ABOVE THAT THESE NUMBER FORM AN AP

WITH A =1 AND D =1

Step-by-step explanation:

GIVEN SN = 465

SN = N/2 {2A +( N-1) D}

465 = N/2 { 2 (1) + (N-1)1}

930 = N { 2 + N-1}

930 = N { 1 + N}

930 = N + N²

0 = N² + N - 930

By spilting THE MIDDLE TERM WE GET

N² + 31N - 30N - 930

N ( N + 31) -30 ( N +31)

(N -30) (N +31)

N = 30 AS NUMBER OF TERMS CANNOT BE NEGATIVE

SO 30 CONSTECTIVE NATURAL NO SHOULD BE ADDED

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