plz answer my question guys 5th
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Step-by-step explanation:
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6
Answer:
1,6,11,16...
Step-by-step explanation:
We know that nth term of the AP : tn = a + (n - 1) * d.
(i)
Given, t₁₀ = 46
⇒ a + (10 - 1) * d = 46
⇒ a + 9d = 46
(ii)
Given: t₅ + t₇ = 52
⇒ [a + (5 - 1) * d] + [a + (7 - 1) * d] = 52
⇒ a + 4d + a + 6d = 52
⇒ 2a + 10d = 52
⇒ a + 5d = 26
On solving (i) & (ii), we get
a + 9d = 46
a + 5d = 26
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4d = 20
d = 5.
Substitute d = 5 in (i), we get
⇒ a + 9d = 46
⇒ a + 45 = 46
⇒ a = 1.
Now:
a = 1
a + d = 6
a + 2d = 11
a + 3d = 16.
Therefore, the sequence is 1,6,11,16....
Hope it helps!
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