Mavzular

Mavzular / Ketma-ketliklar va binom

Arifmetik va geometrik progressiya

Test: 10 ta savol, vaqt bilan

4 ta oson, 4 ta oʻrta, 2 ta qiyin. Tez va toʻgʻri javob — koʻproq ball.

Testni boshlash

Yoki quyida mashq qiling: variantni tanlang — javob va izoh chiqadi. Ball berilmaydi.

Oson · 10 ta

1.

Arifmetik progressiyada a1=7a_1 = 7, d=−1d = -1. a8a_{8} ni toping.

2.

Geometrik progressiyada b1=−1b_1 = -1, q=3q = 3. b3b_{3} ni toping.

3.

Arifmetik progressiyada a1=6a_1 = 6, d=−4d = -4. a8a_{8} ni toping.

4.

Geometrik progressiyada b1=3b_1 = 3, q=3q = 3. b6b_{6} ni toping.

5.

Arifmetik progressiyada a1=−3a_1 = -3, d=−1d = -1. a18a_{18} ni toping.

6.

Geometrik progressiyada b1=4b_1 = 4, q=−2q = -2. b5b_{5} ni toping.

7.

Arifmetik progressiyada a1=13a_1 = 13, d=−2d = -2. a16a_{16} ni toping.

8.

Geometrik progressiyada b1=−5b_1 = -5, q=3q = 3. b4b_{4} ni toping.

9.

Geometrik progressiyada b1=6b_1 = 6, q=3q = 3. b5b_{5} ni toping.

10.

Arifmetik progressiyada a1=1a_1 = 1, d=−4d = -4. a8a_{8} ni toping.

Oʻrta · 10 ta

1.

Arifmetik progressiyada a3=−4a_{3} = -4, a10=−39a_{10} = -39. Progressiyaning birinchi hadi a1a_1 ni toping.

2.

Arifmetik progressiyada a2=22a_{2} = 22, a5=43a_{5} = 43. Progressiyaning birinchi hadi a1a_1 ni toping.

3.

Hadlari musbat geometrik progressiyada b2=25b_{2} = 25, b3=125b_{3} = 125. Progressiyaning maxraji qq ni toping.

4.

Arifmetik progressiyada a2=−4a_{2} = -4, a10=−36a_{10} = -36. Progressiyaning birinchi hadi a1a_1 ni toping.

5.

Hadlari musbat geometrik progressiyada b1=3b_{1} = 3, b3=48b_{3} = 48. Progressiyaning maxraji qq ni toping.

6.

Hadlari musbat geometrik progressiyada b2=15b_{2} = 15, b3=45b_{3} = 45. Progressiyaning maxraji qq ni toping.

7.

Arifmetik progressiyada a6=27a_{6} = 27, a8=35a_{8} = 35. Progressiyaning birinchi hadi a1a_1 ni toping.

8.

Arifmetik progressiyada a4=−9a_{4} = -9, a9=−19a_{9} = -19. Progressiyaning birinchi hadi a1a_1 ni toping.

9.

Hadlari musbat geometrik progressiyada b1=4b_{1} = 4, b2=12b_{2} = 12. Progressiyaning maxraji qq ni toping.

10.

Hadlari musbat geometrik progressiyada b3=45b_{3} = 45, b4=135b_{4} = 135. Progressiyaning birinchi hadi b1b_1 ni toping.

Qiyin · 10 ta

1.

Arifmetik progressiyada a1=−3a_1 = -3, d=−1d = -1. Dastlabki 7 ta hadining yigʻindisi S7S_{7} ni toping.

2.

Geometrik progressiyada b1=3b_1 = 3, q=2q = 2. Dastlabki 6 ta hadining yigʻindisi S6S_{6} ni toping.

3.

Arifmetik progressiyada a1=3a_1 = 3, d=−3d = -3. Dastlabki 12 ta hadining yigʻindisi S12S_{12} ni toping.

4.

Geometrik progressiyada b1=3b_1 = 3, q=2q = 2. Dastlabki 5 ta hadining yigʻindisi S5S_{5} ni toping.

5.

Geometrik progressiyada b1=1b_1 = 1, q=2q = 2. Dastlabki 4 ta hadining yigʻindisi S4S_{4} ni toping.

6.

Arifmetik progressiyada a1=4a_1 = 4, d=1d = 1. Dastlabki 13 ta hadining yigʻindisi S13S_{13} ni toping.

7.

Arifmetik progressiyada a1=−5a_1 = -5, d=1d = 1. Dastlabki 5 ta hadining yigʻindisi S5S_{5} ni toping.

8.

Geometrik progressiyada b1=3b_1 = 3, q=3q = 3. Dastlabki 5 ta hadining yigʻindisi S5S_{5} ni toping.

9.

Arifmetik progressiyada a1=6a_1 = 6, d=2d = 2. Dastlabki 15 ta hadining yigʻindisi S15S_{15} ni toping.

10.

Geometrik progressiyada b1=5b_1 = 5, q=3q = 3. Dastlabki 5 ta hadining yigʻindisi S5S_{5} ni toping.

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