Aritmetik progresýanyň ilkinji agzasyny we tapawudyny ulanmak

MathematicsArithmetic ProgressionsMedium

Published: September 10, 2026

Question

30. Birinji agzasy we tapawudy:

a) $a_1=5$ we $d=1,4$;

b) $a_1=2,7$ we $d=0,5$;

bolsa, arifmetik progressiýada...

Animated Video Solution

The first half plays free, the full solution is in the app.

Step 1

Salam Nurana, gel bu meseläni bile çözeli.

Step 2

Arifmetik progressiýanyň islendik n-nji agzasyny tapmak üçin formula aşakdaky ýaly: a n deňdir a bir goşulan n minus bir köpeldilen d.

$$a_n = a_1 + (n-1)d$$

Step 3

Biz 38-nji agzasyny tapmaly, ýagny n 38-e deň. Onda formula şeýle bolýar: a 38 deňdir a 1 goşulan 37 d.

a_{38} = a_1 + 37d

Step 4

Geliň, ilki a) ýagdaýyndan başlaly. Bu ýerde a 1 bäşe, d bolsa 1.4-e deň.

$$a_1 = 5, d = 1.4$$

a_{38} = 5 + 37 \times 1.4

Step 5

37-ni 1.4-e köpeldeliň, bu 51.8 bolýar.

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